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Finding the Fourth Proportional to 491,886.80, 737,729.40 and 136,811.60

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Solution

The fourth proportional to 491,886.80, 737,729.40 and 136,811.60 is: 205,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,886.80 : 737,729.40 = 136,811.60 : x
  2. Step 2: Convert to fraction form
    491,886.80/737,729.40 = 136,811.60/x
  3. Step 3: Cross multiply
    491,886.80x = 737,729.40 × 136,811.60
  4. Step 4: Simplify right side
    491,886.80x = 100,929,939,581.04
  5. Step 5: Solve for x
    x = 100,929,939,581.04/491,886.80
  6. Step 6: Final answer
    x = 205,189.36

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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.