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Finding the Fourth Proportional to 400,508.70, 600,668.07 and 147,651.78

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Solution

The fourth proportional to 400,508.70, 600,668.07 and 147,651.78 is: 221,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,508.70 : 600,668.07 = 147,651.78 : x
  2. Step 2: Convert to fraction form
    400,508.70/600,668.07 = 147,651.78/x
  3. Step 3: Cross multiply
    400,508.70x = 600,668.07 × 147,651.78
  4. Step 4: Simplify right side
    400,508.70x = 88,689,709,724.66
  5. Step 5: Solve for x
    x = 88,689,709,724.66/400,508.70
  6. Step 6: Final answer
    x = 221,442.65

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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.