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Finding the Fourth Proportional to 400,249.87, 600,610.54 and 147,708.07

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Solution

The fourth proportional to 400,249.87, 600,610.54 and 147,708.07 is: 221,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,249.87 : 600,610.54 = 147,708.07 : x
  2. Step 2: Convert to fraction form
    400,249.87/600,610.54 = 147,708.07/x
  3. Step 3: Cross multiply
    400,249.87x = 600,610.54 × 147,708.07
  4. Step 4: Simplify right side
    400,249.87x = 88,715,023,685.06
  5. Step 5: Solve for x
    x = 88,715,023,685.06/400,249.87
  6. Step 6: Final answer
    x = 221,649.10

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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.