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Finding the Fourth Proportional to 442,787.40, 664,278.30 and 218,255.40

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Solution

The fourth proportional to 442,787.40, 664,278.30 and 218,255.40 is: 327,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,787.40 : 664,278.30 = 218,255.40 : x
  2. Step 2: Convert to fraction form
    442,787.40/664,278.30 = 218,255.40/x
  3. Step 3: Cross multiply
    442,787.40x = 664,278.30 × 218,255.40
  4. Step 4: Simplify right side
    442,787.40x = 144,982,326,077.82
  5. Step 5: Solve for x
    x = 144,982,326,077.82/442,787.40
  6. Step 6: Final answer
    x = 327,431.01

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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.