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Finding the Fourth Proportional to 391,027.40, 586,152.30 and 180,297.80

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Solution

The fourth proportional to 391,027.40, 586,152.30 and 180,297.80 is: 270,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,027.40 : 586,152.30 = 180,297.80 : x
  2. Step 2: Convert to fraction form
    391,027.40/586,152.30 = 180,297.80/x
  3. Step 3: Cross multiply
    391,027.40x = 586,152.30 × 180,297.80
  4. Step 4: Simplify right side
    391,027.40x = 105,681,970,154.94
  5. Step 5: Solve for x
    x = 105,681,970,154.94/391,027.40
  6. Step 6: Final answer
    x = 270,267.43

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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.