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Finding the Fourth Proportional to 393,760.55, 590,649.19 and 141,057.47

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Solution

The fourth proportional to 393,760.55, 590,649.19 and 141,057.47 is: 211,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,760.55 : 590,649.19 = 141,057.47 : x
  2. Step 2: Convert to fraction form
    393,760.55/590,649.19 = 141,057.47/x
  3. Step 3: Cross multiply
    393,760.55x = 590,649.19 × 141,057.47
  4. Step 4: Simplify right side
    393,760.55x = 83,315,480,398.95
  5. Step 5: Solve for x
    x = 83,315,480,398.95/393,760.55
  6. Step 6: Final answer
    x = 211,589.20

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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.