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Finding the Fourth Proportional to 442,182.56, 610,310.16 and 281,006

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Solution

The fourth proportional to 442,182.56, 610,310.16 and 281,006 is: 387,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,182.56 : 610,310.16 = 281,006 : x
  2. Step 2: Convert to fraction form
    442,182.56/610,310.16 = 281,006/x
  3. Step 3: Cross multiply
    442,182.56x = 610,310.16 × 281,006
  4. Step 4: Simplify right side
    442,182.56x = 171,500,816,820.96
  5. Step 5: Solve for x
    x = 171,500,816,820.96/442,182.56
  6. Step 6: Final answer
    x = 387,850.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.