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Finding the Fourth Proportional to 312,901.28, 469,366.50 and 91,285.28

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Solution

The fourth proportional to 312,901.28, 469,366.50 and 91,285.28 is: 136,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,901.28 : 469,366.50 = 91,285.28 : x
  2. Step 2: Convert to fraction form
    312,901.28/469,366.50 = 91,285.28/x
  3. Step 3: Cross multiply
    312,901.28x = 469,366.50 × 91,285.28
  4. Step 4: Simplify right side
    312,901.28x = 42,846,252,375.12
  5. Step 5: Solve for x
    x = 42,846,252,375.12/312,901.28
  6. Step 6: Final answer
    x = 136,932.17

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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.