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Finding the Fourth Proportional to 486,689.96, 729,977.43 and 149,729.96

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Solution

The fourth proportional to 486,689.96, 729,977.43 and 149,729.96 is: 224,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,689.96 : 729,977.43 = 149,729.96 : x
  2. Step 2: Convert to fraction form
    486,689.96/729,977.43 = 149,729.96/x
  3. Step 3: Cross multiply
    486,689.96x = 729,977.43 × 149,729.96
  4. Step 4: Simplify right side
    486,689.96x = 109,299,491,394.80
  5. Step 5: Solve for x
    x = 109,299,491,394.80/486,689.96
  6. Step 6: Final answer
    x = 224,577.25

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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.