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Finding the Fourth Proportional to 875,138, 1,207,691.08 and 472,730

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Solution

The fourth proportional to 875,138, 1,207,691.08 and 472,730 is: 652,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,138 : 1,207,691.08 = 472,730 : x
  2. Step 2: Convert to fraction form
    875,138/1,207,691.08 = 472,730/x
  3. Step 3: Cross multiply
    875,138x = 1,207,691.08 × 472,730
  4. Step 4: Simplify right side
    875,138x = 570,911,804,248.40
  5. Step 5: Solve for x
    x = 570,911,804,248.40/875,138
  6. Step 6: Final answer
    x = 652,367.75

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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.