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Finding the Fourth Proportional to 875,151, 1,207,709.46 and 472,743

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Solution

The fourth proportional to 875,151, 1,207,709.46 and 472,743 is: 652,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,151 : 1,207,709.46 = 472,743 : x
  2. Step 2: Convert to fraction form
    875,151/1,207,709.46 = 472,743/x
  3. Step 3: Cross multiply
    875,151x = 1,207,709.46 × 472,743
  4. Step 4: Simplify right side
    875,151x = 570,936,193,248.78
  5. Step 5: Solve for x
    x = 570,936,193,248.78/875,151
  6. Step 6: Final answer
    x = 652,385.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.