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Finding the Fourth Proportional to 475,930.28, 656,412.56 and 294,742.80

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Solution

The fourth proportional to 475,930.28, 656,412.56 and 294,742.80 is: 406,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,930.28 : 656,412.56 = 294,742.80 : x
  2. Step 2: Convert to fraction form
    475,930.28/656,412.56 = 294,742.80/x
  3. Step 3: Cross multiply
    475,930.28x = 656,412.56 × 294,742.80
  4. Step 4: Simplify right side
    475,930.28x = 193,472,875,521.14
  5. Step 5: Solve for x
    x = 193,472,875,521.14/475,930.28
  6. Step 6: Final answer
    x = 406,515.16

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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.