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Finding the Fourth Proportional to 661,735.60, 992,603.40 and 409,793.20

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Solution

The fourth proportional to 661,735.60, 992,603.40 and 409,793.20 is: 614,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,735.60 : 992,603.40 = 409,793.20 : x
  2. Step 2: Convert to fraction form
    661,735.60/992,603.40 = 409,793.20/x
  3. Step 3: Cross multiply
    661,735.60x = 992,603.40 × 409,793.20
  4. Step 4: Simplify right side
    661,735.60x = 406,762,123,616.88
  5. Step 5: Solve for x
    x = 406,762,123,616.88/661,735.60
  6. Step 6: Final answer
    x = 614,689.80

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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.