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Finding the Fourth Proportional to 513,240.60, 768,986.10 and 438,007.80

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Solution

The fourth proportional to 513,240.60, 768,986.10 and 438,007.80 is: 656,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,240.60 : 768,986.10 = 438,007.80 : x
  2. Step 2: Convert to fraction form
    513,240.60/768,986.10 = 438,007.80/x
  3. Step 3: Cross multiply
    513,240.60x = 768,986.10 × 438,007.80
  4. Step 4: Simplify right side
    513,240.60x = 336,821,909,891.58
  5. Step 5: Solve for x
    x = 336,821,909,891.58/513,240.60
  6. Step 6: Final answer
    x = 656,265.13

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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.