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Finding the Fourth Proportional to 437,571.20, 656,356.80 and 105,147.20

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Solution

The fourth proportional to 437,571.20, 656,356.80 and 105,147.20 is: 157,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,571.20 : 656,356.80 = 105,147.20 : x
  2. Step 2: Convert to fraction form
    437,571.20/656,356.80 = 105,147.20/x
  3. Step 3: Cross multiply
    437,571.20x = 656,356.80 × 105,147.20
  4. Step 4: Simplify right side
    437,571.20x = 69,014,079,720.96
  5. Step 5: Solve for x
    x = 69,014,079,720.96/437,571.20
  6. Step 6: Final answer
    x = 157,720.80

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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.