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Finding the Fourth Proportional to 487,412.80, 731,119.20 and 345,695.20

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Solution

The fourth proportional to 487,412.80, 731,119.20 and 345,695.20 is: 518,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,412.80 : 731,119.20 = 345,695.20 : x
  2. Step 2: Convert to fraction form
    487,412.80/731,119.20 = 345,695.20/x
  3. Step 3: Cross multiply
    487,412.80x = 731,119.20 × 345,695.20
  4. Step 4: Simplify right side
    487,412.80x = 252,744,398,067.84
  5. Step 5: Solve for x
    x = 252,744,398,067.84/487,412.80
  6. Step 6: Final answer
    x = 518,542.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.