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Finding the Fourth Proportional to 391,144.95, 540,767.19 and 289,009.32

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Solution

The fourth proportional to 391,144.95, 540,767.19 and 289,009.32 is: 399,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,144.95 : 540,767.19 = 289,009.32 : x
  2. Step 2: Convert to fraction form
    391,144.95/540,767.19 = 289,009.32/x
  3. Step 3: Cross multiply
    391,144.95x = 540,767.19 × 289,009.32
  4. Step 4: Simplify right side
    391,144.95x = 156,286,755,290.44
  5. Step 5: Solve for x
    x = 156,286,755,290.44/391,144.95
  6. Step 6: Final answer
    x = 399,562.25

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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.