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Finding the Fourth Proportional to 437,677.25, 656,515.88 and 105,253.25

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Solution

The fourth proportional to 437,677.25, 656,515.88 and 105,253.25 is: 157,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,677.25 : 656,515.88 = 105,253.25 : x
  2. Step 2: Convert to fraction form
    437,677.25/656,515.88 = 105,253.25/x
  3. Step 3: Cross multiply
    437,677.25x = 656,515.88 × 105,253.25
  4. Step 4: Simplify right side
    437,677.25x = 69,100,429,520.34
  5. Step 5: Solve for x
    x = 69,100,429,520.34/437,677.25
  6. Step 6: Final answer
    x = 157,879.88

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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.