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Finding the Fourth Proportional to 439,442, 659,231.76 and 139,989.68

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Solution

The fourth proportional to 439,442, 659,231.76 and 139,989.68 is: 210,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,442 : 659,231.76 = 139,989.68 : x
  2. Step 2: Convert to fraction form
    439,442/659,231.76 = 139,989.68/x
  3. Step 3: Cross multiply
    439,442x = 659,231.76 × 139,989.68
  4. Step 4: Simplify right side
    439,442x = 92,285,643,128.24
  5. Step 5: Solve for x
    x = 92,285,643,128.24/439,442
  6. Step 6: Final answer
    x = 210,006.42

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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.