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Finding the Fourth Proportional to 549,788.30, 824,682.45 and 409,820.30

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Solution

The fourth proportional to 549,788.30, 824,682.45 and 409,820.30 is: 614,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,788.30 : 824,682.45 = 409,820.30 : x
  2. Step 2: Convert to fraction form
    549,788.30/824,682.45 = 409,820.30/x
  3. Step 3: Cross multiply
    549,788.30x = 824,682.45 × 409,820.30
  4. Step 4: Simplify right side
    549,788.30x = 337,971,609,063.74
  5. Step 5: Solve for x
    x = 337,971,609,063.74/549,788.30
  6. Step 6: Final answer
    x = 614,730.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.