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Finding the Fourth Proportional to 472,094.38, 708,758.85 and 280,318.78

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Solution

The fourth proportional to 472,094.38, 708,758.85 and 280,318.78 is: 420,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,094.38 : 708,758.85 = 280,318.78 : x
  2. Step 2: Convert to fraction form
    472,094.38/708,758.85 = 280,318.78/x
  3. Step 3: Cross multiply
    472,094.38x = 708,758.85 × 280,318.78
  4. Step 4: Simplify right side
    472,094.38x = 198,678,416,146.20
  5. Step 5: Solve for x
    x = 198,678,416,146.20/472,094.38
  6. Step 6: Final answer
    x = 420,844.70

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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.