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Finding the Fourth Proportional to 460,218.80, 690,046.32 and 179,408

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Solution

The fourth proportional to 460,218.80, 690,046.32 and 179,408 is: 269,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,218.80 : 690,046.32 = 179,408 : x
  2. Step 2: Convert to fraction form
    460,218.80/690,046.32 = 179,408/x
  3. Step 3: Cross multiply
    460,218.80x = 690,046.32 × 179,408
  4. Step 4: Simplify right side
    460,218.80x = 123,799,830,178.56
  5. Step 5: Solve for x
    x = 123,799,830,178.56/460,218.80
  6. Step 6: Final answer
    x = 269,002.11

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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.