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Finding the Fourth Proportional to 549,785.80, 824,678.70 and 409,817.80

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Solution

The fourth proportional to 549,785.80, 824,678.70 and 409,817.80 is: 614,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,785.80 : 824,678.70 = 409,817.80 : x
  2. Step 2: Convert to fraction form
    549,785.80/824,678.70 = 409,817.80/x
  3. Step 3: Cross multiply
    549,785.80x = 824,678.70 × 409,817.80
  4. Step 4: Simplify right side
    549,785.80x = 337,968,010,540.86
  5. Step 5: Solve for x
    x = 337,968,010,540.86/549,785.80
  6. Step 6: Final answer
    x = 614,726.70

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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.