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Finding the Fourth Proportional to 397,423.30, 548,432.40 and 225,356.97

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Solution

The fourth proportional to 397,423.30, 548,432.40 and 225,356.97 is: 310,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,423.30 : 548,432.40 = 225,356.97 : x
  2. Step 2: Convert to fraction form
    397,423.30/548,432.40 = 225,356.97/x
  3. Step 3: Cross multiply
    397,423.30x = 548,432.40 × 225,356.97
  4. Step 4: Simplify right side
    397,423.30x = 123,593,063,913.83
  5. Step 5: Solve for x
    x = 123,593,063,913.83/397,423.30
  6. Step 6: Final answer
    x = 310,985.96

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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.