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Finding the Fourth Proportional to 429,526.28, 644,429.56 and 204,857.52

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Solution

The fourth proportional to 429,526.28, 644,429.56 and 204,857.52 is: 307,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,526.28 : 644,429.56 = 204,857.52 : x
  2. Step 2: Convert to fraction form
    429,526.28/644,429.56 = 204,857.52/x
  3. Step 3: Cross multiply
    429,526.28x = 644,429.56 × 204,857.52
  4. Step 4: Simplify right side
    429,526.28x = 132,016,244,148.97
  5. Step 5: Solve for x
    x = 132,016,244,148.97/429,526.28
  6. Step 6: Final answer
    x = 307,353.13

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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.