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Finding the Fourth Proportional to 445,901.31, 668,690.56 and 189,750.96

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Solution

The fourth proportional to 445,901.31, 668,690.56 and 189,750.96 is: 284,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,901.31 : 668,690.56 = 189,750.96 : x
  2. Step 2: Convert to fraction form
    445,901.31/668,690.56 = 189,750.96/x
  3. Step 3: Cross multiply
    445,901.31x = 668,690.56 × 189,750.96
  4. Step 4: Simplify right side
    445,901.31x = 126,884,675,702.94
  5. Step 5: Solve for x
    x = 126,884,675,702.94/445,901.31
  6. Step 6: Final answer
    x = 284,557.75

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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.