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Finding the Fourth Proportional to 412,333.32, 618,426.90 and 187,641.48

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Solution

The fourth proportional to 412,333.32, 618,426.90 and 187,641.48 is: 281,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,333.32 : 618,426.90 = 187,641.48 : x
  2. Step 2: Convert to fraction form
    412,333.32/618,426.90 = 187,641.48/x
  3. Step 3: Cross multiply
    412,333.32x = 618,426.90 × 187,641.48
  4. Step 4: Simplify right side
    412,333.32x = 116,042,538,787.81
  5. Step 5: Solve for x
    x = 116,042,538,787.81/412,333.32
  6. Step 6: Final answer
    x = 281,428.96

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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.