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Finding the Fourth Proportional to 488,398.60, 731,723.10 and 418,414.60

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Solution

The fourth proportional to 488,398.60, 731,723.10 and 418,414.60 is: 626,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,398.60 : 731,723.10 = 418,414.60 : x
  2. Step 2: Convert to fraction form
    488,398.60/731,723.10 = 418,414.60/x
  3. Step 3: Cross multiply
    488,398.60x = 731,723.10 × 418,414.60
  4. Step 4: Simplify right side
    488,398.60x = 306,163,628,197.26
  5. Step 5: Solve for x
    x = 306,163,628,197.26/488,398.60
  6. Step 6: Final answer
    x = 626,872.45

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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.