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Finding the Fourth Proportional to 715,712.06, 987,684.71 and 409,793.15

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Solution

The fourth proportional to 715,712.06, 987,684.71 and 409,793.15 is: 565,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,712.06 : 987,684.71 = 409,793.15 : x
  2. Step 2: Convert to fraction form
    715,712.06/987,684.71 = 409,793.15/x
  3. Step 3: Cross multiply
    715,712.06x = 987,684.71 × 409,793.15
  4. Step 4: Simplify right side
    715,712.06x = 404,746,428,937.98
  5. Step 5: Solve for x
    x = 404,746,428,937.98/715,712.06
  6. Step 6: Final answer
    x = 565,515.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.