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Finding the Fourth Proportional to 429,841.71, 644,314.10 and 240,023.79

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Solution

The fourth proportional to 429,841.71, 644,314.10 and 240,023.79 is: 359,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,841.71 : 644,314.10 = 240,023.79 : x
  2. Step 2: Convert to fraction form
    429,841.71/644,314.10 = 240,023.79/x
  3. Step 3: Cross multiply
    429,841.71x = 644,314.10 × 240,023.79
  4. Step 4: Simplify right side
    429,841.71x = 154,650,711,032.32
  5. Step 5: Solve for x
    x = 154,650,711,032.32/429,841.71
  6. Step 6: Final answer
    x = 359,785.26

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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.