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Finding the Fourth Proportional to 391,010.40, 586,126.80 and 180,280.80

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Solution

The fourth proportional to 391,010.40, 586,126.80 and 180,280.80 is: 270,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,010.40 : 586,126.80 = 180,280.80 : x
  2. Step 2: Convert to fraction form
    391,010.40/586,126.80 = 180,280.80/x
  3. Step 3: Cross multiply
    391,010.40x = 586,126.80 × 180,280.80
  4. Step 4: Simplify right side
    391,010.40x = 105,667,408,405.44
  5. Step 5: Solve for x
    x = 105,667,408,405.44/391,010.40
  6. Step 6: Final answer
    x = 270,241.94

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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.