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Finding the Fourth Proportional to 475,508.81, 656,269.29 and 294,279.11

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Solution

The fourth proportional to 475,508.81, 656,269.29 and 294,279.11 is: 406,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,508.81 : 656,269.29 = 294,279.11 : x
  2. Step 2: Convert to fraction form
    475,508.81/656,269.29 = 294,279.11/x
  3. Step 3: Cross multiply
    475,508.81x = 656,269.29 × 294,279.11
  4. Step 4: Simplify right side
    475,508.81x = 193,126,341,761.20
  5. Step 5: Solve for x
    x = 193,126,341,761.20/475,508.81
  6. Step 6: Final answer
    x = 406,146.71

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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.