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Finding the Fourth Proportional to 332,881.80, 499,448.40 and 199,854.78

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Solution

The fourth proportional to 332,881.80, 499,448.40 and 199,854.78 is: 299,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,881.80 : 499,448.40 = 199,854.78 : x
  2. Step 2: Convert to fraction form
    332,881.80/499,448.40 = 199,854.78/x
  3. Step 3: Cross multiply
    332,881.80x = 499,448.40 × 199,854.78
  4. Step 4: Simplify right side
    332,881.80x = 99,817,150,103.35
  5. Step 5: Solve for x
    x = 99,817,150,103.35/332,881.80
  6. Step 6: Final answer
    x = 299,857.64

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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.