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Finding the Fourth Proportional to 399,980.68, 600,002.88 and 133,742.86

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Solution

The fourth proportional to 399,980.68, 600,002.88 and 133,742.86 is: 200,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,980.68 : 600,002.88 = 133,742.86 : x
  2. Step 2: Convert to fraction form
    399,980.68/600,002.88 = 133,742.86/x
  3. Step 3: Cross multiply
    399,980.68x = 600,002.88 × 133,742.86
  4. Step 4: Simplify right side
    399,980.68x = 80,246,101,179.44
  5. Step 5: Solve for x
    x = 80,246,101,179.44/399,980.68
  6. Step 6: Final answer
    x = 200,624.94

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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.