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Finding the Fourth Proportional to 315,282.74, 472,919.13 and 146,708.78

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Solution

The fourth proportional to 315,282.74, 472,919.13 and 146,708.78 is: 220,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,282.74 : 472,919.13 = 146,708.78 : x
  2. Step 2: Convert to fraction form
    315,282.74/472,919.13 = 146,708.78/x
  3. Step 3: Cross multiply
    315,282.74x = 472,919.13 × 146,708.78
  4. Step 4: Simplify right side
    315,282.74x = 69,381,388,600.96
  5. Step 5: Solve for x
    x = 69,381,388,600.96/315,282.74
  6. Step 6: Final answer
    x = 220,060.85

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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.