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Finding the Fourth Proportional to 442,399.71, 660,369.88 and 379,623.24

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Solution

The fourth proportional to 442,399.71, 660,369.88 and 379,623.24 is: 566,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,399.71 : 660,369.88 = 379,623.24 : x
  2. Step 2: Convert to fraction form
    442,399.71/660,369.88 = 379,623.24/x
  3. Step 3: Cross multiply
    442,399.71x = 660,369.88 × 379,623.24
  4. Step 4: Simplify right side
    442,399.71x = 250,691,753,444.01
  5. Step 5: Solve for x
    x = 250,691,753,444.01/442,399.71
  6. Step 6: Final answer
    x = 566,663.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.