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Finding the Fourth Proportional to 486,789.96, 730,254.24 and 149,858.76

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Solution

The fourth proportional to 486,789.96, 730,254.24 and 149,858.76 is: 224,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,789.96 : 730,254.24 = 149,858.76 : x
  2. Step 2: Convert to fraction form
    486,789.96/730,254.24 = 149,858.76/x
  3. Step 3: Cross multiply
    486,789.96x = 730,254.24 × 149,858.76
  4. Step 4: Simplify right side
    486,789.96x = 109,434,994,891.14
  5. Step 5: Solve for x
    x = 109,434,994,891.14/486,789.96
  6. Step 6: Final answer
    x = 224,809.47

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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.