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Finding the Fourth Proportional to 315,265.77, 472,731.66 and 137,565.27

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Solution

The fourth proportional to 315,265.77, 472,731.66 and 137,565.27 is: 206,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,265.77 : 472,731.66 = 137,565.27 : x
  2. Step 2: Convert to fraction form
    315,265.77/472,731.66 = 137,565.27/x
  3. Step 3: Cross multiply
    315,265.77x = 472,731.66 × 137,565.27
  4. Step 4: Simplify right side
    315,265.77x = 65,031,458,445.45
  5. Step 5: Solve for x
    x = 65,031,458,445.45/315,265.77
  6. Step 6: Final answer
    x = 206,275.04

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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.