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Finding the Fourth Proportional to 460,432.91, 690,125.64 and 280,120.86

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Solution

The fourth proportional to 460,432.91, 690,125.64 and 280,120.86 is: 419,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,432.91 : 690,125.64 = 280,120.86 : x
  2. Step 2: Convert to fraction form
    460,432.91/690,125.64 = 280,120.86/x
  3. Step 3: Cross multiply
    460,432.91x = 690,125.64 × 280,120.86
  4. Step 4: Simplify right side
    460,432.91x = 193,318,587,784.85
  5. Step 5: Solve for x
    x = 193,318,587,784.85/460,432.91
  6. Step 6: Final answer
    x = 419,862.66

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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.