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Finding the Fourth Proportional to 437,650.12, 656,478.06 and 157,169.80

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Solution

The fourth proportional to 437,650.12, 656,478.06 and 157,169.80 is: 235,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,650.12 : 656,478.06 = 157,169.80 : x
  2. Step 2: Convert to fraction form
    437,650.12/656,478.06 = 157,169.80/x
  3. Step 3: Cross multiply
    437,650.12x = 656,478.06 × 157,169.80
  4. Step 4: Simplify right side
    437,650.12x = 103,178,525,394.59
  5. Step 5: Solve for x
    x = 103,178,525,394.59/437,650.12
  6. Step 6: Final answer
    x = 235,755.73

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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.