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Finding the Fourth Proportional to 491,110.40, 735,974.40 and 363,756.80

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Solution

The fourth proportional to 491,110.40, 735,974.40 and 363,756.80 is: 545,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,110.40 : 735,974.40 = 363,756.80 : x
  2. Step 2: Convert to fraction form
    491,110.40/735,974.40 = 363,756.80/x
  3. Step 3: Cross multiply
    491,110.40x = 735,974.40 × 363,756.80
  4. Step 4: Simplify right side
    491,110.40x = 267,715,692,625.92
  5. Step 5: Solve for x
    x = 267,715,692,625.92/491,110.40
  6. Step 6: Final answer
    x = 545,123.24

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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.