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Finding the Fourth Proportional to 387,046.80, 534,031.11 and 225,809.82

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Solution

The fourth proportional to 387,046.80, 534,031.11 and 225,809.82 is: 311,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,046.80 : 534,031.11 = 225,809.82 : x
  2. Step 2: Convert to fraction form
    387,046.80/534,031.11 = 225,809.82/x
  3. Step 3: Cross multiply
    387,046.80x = 534,031.11 × 225,809.82
  4. Step 4: Simplify right side
    387,046.80x = 120,589,468,823.50
  5. Step 5: Solve for x
    x = 120,589,468,823.50/387,046.80
  6. Step 6: Final answer
    x = 311,563.02

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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.