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Finding the Fourth Proportional to 315,143.92, 472,800.12 and 137,665.36

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Solution

The fourth proportional to 315,143.92, 472,800.12 and 137,665.36 is: 206,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,143.92 : 472,800.12 = 137,665.36 : x
  2. Step 2: Convert to fraction form
    315,143.92/472,800.12 = 137,665.36/x
  3. Step 3: Cross multiply
    315,143.92x = 472,800.12 × 137,665.36
  4. Step 4: Simplify right side
    315,143.92x = 65,088,198,727.84
  5. Step 5: Solve for x
    x = 65,088,198,727.84/315,143.92
  6. Step 6: Final answer
    x = 206,534.84

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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.