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Finding the Fourth Proportional to 391,507.80, 587,261.70 and 273,409.80

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Solution

The fourth proportional to 391,507.80, 587,261.70 and 273,409.80 is: 410,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,507.80 : 587,261.70 = 273,409.80 : x
  2. Step 2: Convert to fraction form
    391,507.80/587,261.70 = 273,409.80/x
  3. Step 3: Cross multiply
    391,507.80x = 587,261.70 × 273,409.80
  4. Step 4: Simplify right side
    391,507.80x = 160,563,103,944.66
  5. Step 5: Solve for x
    x = 160,563,103,944.66/391,507.80
  6. Step 6: Final answer
    x = 410,114.70

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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.