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Finding the Fourth Proportional to 315,042.30, 472,440.60 and 137,428.20

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Solution

The fourth proportional to 315,042.30, 472,440.60 and 137,428.20 is: 206,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,042.30 : 472,440.60 = 137,428.20 : x
  2. Step 2: Convert to fraction form
    315,042.30/472,440.60 = 137,428.20/x
  3. Step 3: Cross multiply
    315,042.30x = 472,440.60 × 137,428.20
  4. Step 4: Simplify right side
    315,042.30x = 64,926,661,264.92
  5. Step 5: Solve for x
    x = 64,926,661,264.92/315,042.30
  6. Step 6: Final answer
    x = 206,088.71

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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.