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Finding the Fourth Proportional to 391,594.96, 540,382.80 and 221,830.48

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Solution

The fourth proportional to 391,594.96, 540,382.80 and 221,830.48 is: 306,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,594.96 : 540,382.80 = 221,830.48 : x
  2. Step 2: Convert to fraction form
    391,594.96/540,382.80 = 221,830.48/x
  3. Step 3: Cross multiply
    391,594.96x = 540,382.80 × 221,830.48
  4. Step 4: Simplify right side
    391,594.96x = 119,873,375,907.74
  5. Step 5: Solve for x
    x = 119,873,375,907.74/391,594.96
  6. Step 6: Final answer
    x = 306,115.73

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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.