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Finding the Fourth Proportional to 391,130.82, 586,293.60 and 222,290.52

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Solution

The fourth proportional to 391,130.82, 586,293.60 and 222,290.52 is: 333,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,130.82 : 586,293.60 = 222,290.52 : x
  2. Step 2: Convert to fraction form
    391,130.82/586,293.60 = 222,290.52/x
  3. Step 3: Cross multiply
    391,130.82x = 586,293.60 × 222,290.52
  4. Step 4: Simplify right side
    391,130.82x = 130,327,509,216.67
  5. Step 5: Solve for x
    x = 130,327,509,216.67/391,130.82
  6. Step 6: Final answer
    x = 333,206.95

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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.