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Finding the Fourth Proportional to 315,057.30, 472,463.10 and 137,443.20

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Solution

The fourth proportional to 315,057.30, 472,463.10 and 137,443.20 is: 206,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,057.30 : 472,463.10 = 137,443.20 : x
  2. Step 2: Convert to fraction form
    315,057.30/472,463.10 = 137,443.20/x
  3. Step 3: Cross multiply
    315,057.30x = 472,463.10 × 137,443.20
  4. Step 4: Simplify right side
    315,057.30x = 64,936,840,345.92
  5. Step 5: Solve for x
    x = 64,936,840,345.92/315,057.30
  6. Step 6: Final answer
    x = 206,111.21

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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.