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Finding the Fourth Proportional to 587,200.87, 810,147.75 and 345,542.84

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Solution

The fourth proportional to 587,200.87, 810,147.75 and 345,542.84 is: 476,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,200.87 : 810,147.75 = 345,542.84 : x
  2. Step 2: Convert to fraction form
    587,200.87/810,147.75 = 345,542.84/x
  3. Step 3: Cross multiply
    587,200.87x = 810,147.75 × 345,542.84
  4. Step 4: Simplify right side
    587,200.87x = 279,940,754,354.61
  5. Step 5: Solve for x
    x = 279,940,754,354.61/587,200.87
  6. Step 6: Final answer
    x = 476,737.64

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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.