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Finding the Fourth Proportional to 462,109.28, 691,586.72 and 387,313.92

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Solution

The fourth proportional to 462,109.28, 691,586.72 and 387,313.92 is: 579,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,109.28 : 691,586.72 = 387,313.92 : x
  2. Step 2: Convert to fraction form
    462,109.28/691,586.72 = 387,313.92/x
  3. Step 3: Cross multiply
    462,109.28x = 691,586.72 × 387,313.92
  4. Step 4: Simplify right side
    462,109.28x = 267,861,163,543.14
  5. Step 5: Solve for x
    x = 267,861,163,543.14/462,109.28
  6. Step 6: Final answer
    x = 579,648.96

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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.