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Finding the Fourth Proportional to 513,330.60, 769,121.10 and 438,097.80

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Solution

The fourth proportional to 513,330.60, 769,121.10 and 438,097.80 is: 656,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,330.60 : 769,121.10 = 438,097.80 : x
  2. Step 2: Convert to fraction form
    513,330.60/769,121.10 = 438,097.80/x
  3. Step 3: Cross multiply
    513,330.60x = 769,121.10 × 438,097.80
  4. Step 4: Simplify right side
    513,330.60x = 336,950,261,843.58
  5. Step 5: Solve for x
    x = 336,950,261,843.58/513,330.60
  6. Step 6: Final answer
    x = 656,400.11

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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.