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Finding the Fourth Proportional to 316,020.32, 474,162.24 and 138,654.80

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Solution

The fourth proportional to 316,020.32, 474,162.24 and 138,654.80 is: 208,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,020.32 : 474,162.24 = 138,654.80 : x
  2. Step 2: Convert to fraction form
    316,020.32/474,162.24 = 138,654.80/x
  3. Step 3: Cross multiply
    316,020.32x = 474,162.24 × 138,654.80
  4. Step 4: Simplify right side
    316,020.32x = 65,744,870,554.75
  5. Step 5: Solve for x
    x = 65,744,870,554.75/316,020.32
  6. Step 6: Final answer
    x = 208,040.01

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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.