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Finding the Fourth Proportional to 521,164.26, 780,728.28 and 359,029.71

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Solution

The fourth proportional to 521,164.26, 780,728.28 and 359,029.71 is: 537,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,164.26 : 780,728.28 = 359,029.71 : x
  2. Step 2: Convert to fraction form
    521,164.26/780,728.28 = 359,029.71/x
  3. Step 3: Cross multiply
    521,164.26x = 780,728.28 × 359,029.71
  4. Step 4: Simplify right side
    521,164.26x = 280,304,647,957.20
  5. Step 5: Solve for x
    x = 280,304,647,957.20/521,164.26
  6. Step 6: Final answer
    x = 537,843.19

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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.