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Finding the Fourth Proportional to 315,046.80, 472,447.35 and 137,432.70

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Solution

The fourth proportional to 315,046.80, 472,447.35 and 137,432.70 is: 206,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,046.80 : 472,447.35 = 137,432.70 : x
  2. Step 2: Convert to fraction form
    315,046.80/472,447.35 = 137,432.70/x
  3. Step 3: Cross multiply
    315,046.80x = 472,447.35 × 137,432.70
  4. Step 4: Simplify right side
    315,046.80x = 64,929,714,918.35
  5. Step 5: Solve for x
    x = 64,929,714,918.35/315,046.80
  6. Step 6: Final answer
    x = 206,095.46

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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.