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Finding the Fourth Proportional to 442,772.76, 664,513.02 and 229,601.28

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Solution

The fourth proportional to 442,772.76, 664,513.02 and 229,601.28 is: 344,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,772.76 : 664,513.02 = 229,601.28 : x
  2. Step 2: Convert to fraction form
    442,772.76/664,513.02 = 229,601.28/x
  3. Step 3: Cross multiply
    442,772.76x = 664,513.02 × 229,601.28
  4. Step 4: Simplify right side
    442,772.76x = 152,573,039,968.67
  5. Step 5: Solve for x
    x = 152,573,039,968.67/442,772.76
  6. Step 6: Final answer
    x = 344,585.43

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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.