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Finding the Fourth Proportional to 429,660.86, 644,487.16 and 261,227.68

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Solution

The fourth proportional to 429,660.86, 644,487.16 and 261,227.68 is: 391,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,660.86 : 644,487.16 = 261,227.68 : x
  2. Step 2: Convert to fraction form
    429,660.86/644,487.16 = 261,227.68/x
  3. Step 3: Cross multiply
    429,660.86x = 644,487.16 × 261,227.68
  4. Step 4: Simplify right side
    429,660.86x = 168,357,886,712.64
  5. Step 5: Solve for x
    x = 168,357,886,712.64/429,660.86
  6. Step 6: Final answer
    x = 391,839.02

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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.