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Finding the Fourth Proportional to 442,342.57, 610,414.65 and 248,744.78

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Solution

The fourth proportional to 442,342.57, 610,414.65 and 248,744.78 is: 343,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,342.57 : 610,414.65 = 248,744.78 : x
  2. Step 2: Convert to fraction form
    442,342.57/610,414.65 = 248,744.78/x
  3. Step 3: Cross multiply
    442,342.57x = 610,414.65 × 248,744.78
  4. Step 4: Simplify right side
    442,342.57x = 151,837,457,823.03
  5. Step 5: Solve for x
    x = 151,837,457,823.03/442,342.57
  6. Step 6: Final answer
    x = 343,257.62

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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.