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Finding the Fourth Proportional to 472,086.55, 708,747.14 and 280,311.15

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Solution

The fourth proportional to 472,086.55, 708,747.14 and 280,311.15 is: 420,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,086.55 : 708,747.14 = 280,311.15 : x
  2. Step 2: Convert to fraction form
    472,086.55/708,747.14 = 280,311.15/x
  3. Step 3: Cross multiply
    472,086.55x = 708,747.14 × 280,311.15
  4. Step 4: Simplify right side
    472,086.55x = 198,669,726,573.39
  5. Step 5: Solve for x
    x = 198,669,726,573.39/472,086.55
  6. Step 6: Final answer
    x = 420,833.27

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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.