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Finding the Fourth Proportional to 391,616, 586,825.86 and 291,290.96

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Solution

The fourth proportional to 391,616, 586,825.86 and 291,290.96 is: 436,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,616 : 586,825.86 = 291,290.96 : x
  2. Step 2: Convert to fraction form
    391,616/586,825.86 = 291,290.96/x
  3. Step 3: Cross multiply
    391,616x = 586,825.86 × 291,290.96
  4. Step 4: Simplify right side
    391,616x = 170,937,068,112.23
  5. Step 5: Solve for x
    x = 170,937,068,112.23/391,616
  6. Step 6: Final answer
    x = 436,491.53

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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.