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Finding the Fourth Proportional to 442,780.80, 664,490.32 and 176,387.20

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Solution

The fourth proportional to 442,780.80, 664,490.32 and 176,387.20 is: 264,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,780.80 : 664,490.32 = 176,387.20 : x
  2. Step 2: Convert to fraction form
    442,780.80/664,490.32 = 176,387.20/x
  3. Step 3: Cross multiply
    442,780.80x = 664,490.32 × 176,387.20
  4. Step 4: Simplify right side
    442,780.80x = 117,207,586,971.90
  5. Step 5: Solve for x
    x = 117,207,586,971.90/442,780.80
  6. Step 6: Final answer
    x = 264,707.93

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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.