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Finding the Fourth Proportional to 494,557.80, 741,663.90 and 257,821.80

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Solution

The fourth proportional to 494,557.80, 741,663.90 and 257,821.80 is: 386,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,557.80 : 741,663.90 = 257,821.80 : x
  2. Step 2: Convert to fraction form
    494,557.80/741,663.90 = 257,821.80/x
  3. Step 3: Cross multiply
    494,557.80x = 741,663.90 × 257,821.80
  4. Step 4: Simplify right side
    494,557.80x = 191,217,121,693.02
  5. Step 5: Solve for x
    x = 191,217,121,693.02/494,557.80
  6. Step 6: Final answer
    x = 386,642.62

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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.