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Finding the Fourth Proportional to 437,649.12, 656,476.56 and 157,168.80

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Solution

The fourth proportional to 437,649.12, 656,476.56 and 157,168.80 is: 235,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,649.12 : 656,476.56 = 157,168.80 : x
  2. Step 2: Convert to fraction form
    437,649.12/656,476.56 = 157,168.80/x
  3. Step 3: Cross multiply
    437,649.12x = 656,476.56 × 157,168.80
  4. Step 4: Simplify right side
    437,649.12x = 103,177,633,163.33
  5. Step 5: Solve for x
    x = 103,177,633,163.33/437,649.12
  6. Step 6: Final answer
    x = 235,754.23

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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.