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Finding the Fourth Proportional to 459,144.60, 687,356.10 and 341,338.20

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Solution

The fourth proportional to 459,144.60, 687,356.10 and 341,338.20 is: 510,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,144.60 : 687,356.10 = 341,338.20 : x
  2. Step 2: Convert to fraction form
    459,144.60/687,356.10 = 341,338.20/x
  3. Step 3: Cross multiply
    459,144.60x = 687,356.10 × 341,338.20
  4. Step 4: Simplify right side
    459,144.60x = 234,620,893,933.02
  5. Step 5: Solve for x
    x = 234,620,893,933.02/459,144.60
  6. Step 6: Final answer
    x = 510,995.65

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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.