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Finding the Fourth Proportional to 465,909.61, 642,948.15 and 261,960.72

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Solution

The fourth proportional to 465,909.61, 642,948.15 and 261,960.72 is: 361,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,909.61 : 642,948.15 = 261,960.72 : x
  2. Step 2: Convert to fraction form
    465,909.61/642,948.15 = 261,960.72/x
  3. Step 3: Cross multiply
    465,909.61x = 642,948.15 × 261,960.72
  4. Step 4: Simplify right side
    465,909.61x = 168,427,158,986.86
  5. Step 5: Solve for x
    x = 168,427,158,986.86/465,909.61
  6. Step 6: Final answer
    x = 361,501.79

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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.