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Finding the Fourth Proportional to 437,895.20, 656,842.80 and 105,471.20

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Solution

The fourth proportional to 437,895.20, 656,842.80 and 105,471.20 is: 158,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,895.20 : 656,842.80 = 105,471.20 : x
  2. Step 2: Convert to fraction form
    437,895.20/656,842.80 = 105,471.20/x
  3. Step 3: Cross multiply
    437,895.20x = 656,842.80 × 105,471.20
  4. Step 4: Simplify right side
    437,895.20x = 69,277,995,043.15
  5. Step 5: Solve for x
    x = 69,277,995,043.15/437,895.20
  6. Step 6: Final answer
    x = 158,206.79

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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.