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Finding the Fourth Proportional to 486,218.70, 729,437.40 and 149,274.90

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Solution

The fourth proportional to 486,218.70, 729,437.40 and 149,274.90 is: 223,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,218.70 : 729,437.40 = 149,274.90 : x
  2. Step 2: Convert to fraction form
    486,218.70/729,437.40 = 149,274.90/x
  3. Step 3: Cross multiply
    486,218.70x = 729,437.40 × 149,274.90
  4. Step 4: Simplify right side
    486,218.70x = 108,886,694,941.26
  5. Step 5: Solve for x
    x = 108,886,694,941.26/486,218.70
  6. Step 6: Final answer
    x = 223,945.92

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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.