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Finding the Fourth Proportional to 875,079, 1,207,609.50 and 472,671

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Solution

The fourth proportional to 875,079, 1,207,609.50 and 472,671 is: 652,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,079 : 1,207,609.50 = 472,671 : x
  2. Step 2: Convert to fraction form
    875,079/1,207,609.50 = 472,671/x
  3. Step 3: Cross multiply
    875,079x = 1,207,609.50 × 472,671
  4. Step 4: Simplify right side
    875,079x = 570,801,989,974.50
  5. Step 5: Solve for x
    x = 570,801,989,974.50/875,079
  6. Step 6: Final answer
    x = 652,286.24

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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.