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Finding the Fourth Proportional to 874,917, 1,207,385.46 and 472,509

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Solution

The fourth proportional to 874,917, 1,207,385.46 and 472,509 is: 652,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,917 : 1,207,385.46 = 472,509 : x
  2. Step 2: Convert to fraction form
    874,917/1,207,385.46 = 472,509/x
  3. Step 3: Cross multiply
    874,917x = 1,207,385.46 × 472,509
  4. Step 4: Simplify right side
    874,917x = 570,500,496,319.14
  5. Step 5: Solve for x
    x = 570,500,496,319.14/874,917
  6. Step 6: Final answer
    x = 652,062.42

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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.