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Finding the Fourth Proportional to 475,897.28, 656,511.89 and 284,873.76

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Solution

The fourth proportional to 475,897.28, 656,511.89 and 284,873.76 is: 392,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,897.28 : 656,511.89 = 284,873.76 : x
  2. Step 2: Convert to fraction form
    475,897.28/656,511.89 = 284,873.76/x
  3. Step 3: Cross multiply
    475,897.28x = 656,511.89 × 284,873.76
  4. Step 4: Simplify right side
    475,897.28x = 187,023,009,164.64
  5. Step 5: Solve for x
    x = 187,023,009,164.64/475,897.28
  6. Step 6: Final answer
    x = 392,990.29

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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.