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Finding the Fourth Proportional to 459,049.60, 688,720.20 and 206,232.40

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Solution

The fourth proportional to 459,049.60, 688,720.20 and 206,232.40 is: 309,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,049.60 : 688,720.20 = 206,232.40 : x
  2. Step 2: Convert to fraction form
    459,049.60/688,720.20 = 206,232.40/x
  3. Step 3: Cross multiply
    459,049.60x = 688,720.20 × 206,232.40
  4. Step 4: Simplify right side
    459,049.60x = 142,036,419,774.48
  5. Step 5: Solve for x
    x = 142,036,419,774.48/459,049.60
  6. Step 6: Final answer
    x = 309,414.10

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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.