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Finding the Fourth Proportional to 491,132.40, 736,007.40 and 363,778.80

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Solution

The fourth proportional to 491,132.40, 736,007.40 and 363,778.80 is: 545,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,132.40 : 736,007.40 = 363,778.80 : x
  2. Step 2: Convert to fraction form
    491,132.40/736,007.40 = 363,778.80/x
  3. Step 3: Cross multiply
    491,132.40x = 736,007.40 × 363,778.80
  4. Step 4: Simplify right side
    491,132.40x = 267,743,888,763.12
  5. Step 5: Solve for x
    x = 267,743,888,763.12/491,132.40
  6. Step 6: Final answer
    x = 545,156.23

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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.