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Finding the Fourth Proportional to 315,011.92, 472,379.24 and 115,280.40

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Solution

The fourth proportional to 315,011.92, 472,379.24 and 115,280.40 is: 172,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,011.92 : 472,379.24 = 115,280.40 : x
  2. Step 2: Convert to fraction form
    315,011.92/472,379.24 = 115,280.40/x
  3. Step 3: Cross multiply
    315,011.92x = 472,379.24 × 115,280.40
  4. Step 4: Simplify right side
    315,011.92x = 54,456,067,738.90
  5. Step 5: Solve for x
    x = 54,456,067,738.90/315,011.92
  6. Step 6: Final answer
    x = 172,869.86

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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.