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Finding the Fourth Proportional to 316,124.72, 474,315.24 and 138,538.16

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Solution

The fourth proportional to 316,124.72, 474,315.24 and 138,538.16 is: 207,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,124.72 : 474,315.24 = 138,538.16 : x
  2. Step 2: Convert to fraction form
    316,124.72/474,315.24 = 138,538.16/x
  3. Step 3: Cross multiply
    316,124.72x = 474,315.24 × 138,538.16
  4. Step 4: Simplify right side
    316,124.72x = 65,710,760,609.56
  5. Step 5: Solve for x
    x = 65,710,760,609.56/316,124.72
  6. Step 6: Final answer
    x = 207,863.40

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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.