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Finding the Fourth Proportional to 549,415.20, 824,122.80 and 456,103.20

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Solution

The fourth proportional to 549,415.20, 824,122.80 and 456,103.20 is: 684,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,415.20 : 824,122.80 = 456,103.20 : x
  2. Step 2: Convert to fraction form
    549,415.20/824,122.80 = 456,103.20/x
  3. Step 3: Cross multiply
    549,415.20x = 824,122.80 × 456,103.20
  4. Step 4: Simplify right side
    549,415.20x = 375,885,046,272.96
  5. Step 5: Solve for x
    x = 375,885,046,272.96/549,415.20
  6. Step 6: Final answer
    x = 684,154.80

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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.