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Finding the Fourth Proportional to 342,489.20, 513,724.20 and 155,500.40

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Solution

The fourth proportional to 342,489.20, 513,724.20 and 155,500.40 is: 233,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,489.20 : 513,724.20 = 155,500.40 : x
  2. Step 2: Convert to fraction form
    342,489.20/513,724.20 = 155,500.40/x
  3. Step 3: Cross multiply
    342,489.20x = 513,724.20 × 155,500.40
  4. Step 4: Simplify right side
    342,489.20x = 79,884,318,589.68
  5. Step 5: Solve for x
    x = 79,884,318,589.68/342,489.20
  6. Step 6: Final answer
    x = 233,246.24

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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.