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Finding the Fourth Proportional to 591,517.71, 816,294.78 and 319,585.52

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Solution

The fourth proportional to 591,517.71, 816,294.78 and 319,585.52 is: 441,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,517.71 : 816,294.78 = 319,585.52 : x
  2. Step 2: Convert to fraction form
    591,517.71/816,294.78 = 319,585.52/x
  3. Step 3: Cross multiply
    591,517.71x = 816,294.78 × 319,585.52
  4. Step 4: Simplify right side
    591,517.71x = 260,875,993,780.32
  5. Step 5: Solve for x
    x = 260,875,993,780.32/591,517.71
  6. Step 6: Final answer
    x = 441,028.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.