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Finding the Fourth Proportional to 402,742.60, 605,426.10 and 285,227.80

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Solution

The fourth proportional to 402,742.60, 605,426.10 and 285,227.80 is: 428,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,742.60 : 605,426.10 = 285,227.80 : x
  2. Step 2: Convert to fraction form
    402,742.60/605,426.10 = 285,227.80/x
  3. Step 3: Cross multiply
    402,742.60x = 605,426.10 × 285,227.80
  4. Step 4: Simplify right side
    402,742.60x = 172,684,354,565.58
  5. Step 5: Solve for x
    x = 172,684,354,565.58/402,742.60
  6. Step 6: Final answer
    x = 428,771.02

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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.