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Finding the Fourth Proportional to 408,057.90, 611,649.45 and 155,240.70

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Solution

The fourth proportional to 408,057.90, 611,649.45 and 155,240.70 is: 232,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,057.90 : 611,649.45 = 155,240.70 : x
  2. Step 2: Convert to fraction form
    408,057.90/611,649.45 = 155,240.70/x
  3. Step 3: Cross multiply
    408,057.90x = 611,649.45 × 155,240.70
  4. Step 4: Simplify right side
    408,057.90x = 94,952,888,772.62
  5. Step 5: Solve for x
    x = 94,952,888,772.62/408,057.90
  6. Step 6: Final answer
    x = 232,694.65

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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.