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Finding the Fourth Proportional to 391,670.32, 540,591.96 and 221,998

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Solution

The fourth proportional to 391,670.32, 540,591.96 and 221,998 is: 306,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,670.32 : 540,591.96 = 221,998 : x
  2. Step 2: Convert to fraction form
    391,670.32/540,591.96 = 221,998/x
  3. Step 3: Cross multiply
    391,670.32x = 540,591.96 × 221,998
  4. Step 4: Simplify right side
    391,670.32x = 120,010,333,936.08
  5. Step 5: Solve for x
    x = 120,010,333,936.08/391,670.32
  6. Step 6: Final answer
    x = 306,406.51

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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.