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Finding the Fourth Proportional to 429,536.92, 644,301.28 and 261,103.76

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Solution

The fourth proportional to 429,536.92, 644,301.28 and 261,103.76 is: 391,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,536.92 : 644,301.28 = 261,103.76 : x
  2. Step 2: Convert to fraction form
    429,536.92/644,301.28 = 261,103.76/x
  3. Step 3: Cross multiply
    429,536.92x = 644,301.28 × 261,103.76
  4. Step 4: Simplify right side
    429,536.92x = 168,229,486,780.81
  5. Step 5: Solve for x
    x = 168,229,486,780.81/429,536.92
  6. Step 6: Final answer
    x = 391,653.15

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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.