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Finding the Fourth Proportional to 472,095.38, 708,760.35 and 280,319.78

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Solution

The fourth proportional to 472,095.38, 708,760.35 and 280,319.78 is: 420,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,095.38 : 708,760.35 = 280,319.78 : x
  2. Step 2: Convert to fraction form
    472,095.38/708,760.35 = 280,319.78/x
  3. Step 3: Cross multiply
    472,095.38x = 708,760.35 × 280,319.78
  4. Step 4: Simplify right side
    472,095.38x = 198,679,545,384.72
  5. Step 5: Solve for x
    x = 198,679,545,384.72/472,095.38
  6. Step 6: Final answer
    x = 420,846.20

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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.