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Finding the Fourth Proportional to 402,734.60, 605,414.10 and 285,219.80

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Solution

The fourth proportional to 402,734.60, 605,414.10 and 285,219.80 is: 428,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,734.60 : 605,414.10 = 285,219.80 : x
  2. Step 2: Convert to fraction form
    402,734.60/605,414.10 = 285,219.80/x
  3. Step 3: Cross multiply
    402,734.60x = 605,414.10 × 285,219.80
  4. Step 4: Simplify right side
    402,734.60x = 172,676,088,519.18
  5. Step 5: Solve for x
    x = 172,676,088,519.18/402,734.60
  6. Step 6: Final answer
    x = 428,759.01

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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.