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Finding the Fourth Proportional to 391,544.40, 586,927.80 and 180,814.80

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Solution

The fourth proportional to 391,544.40, 586,927.80 and 180,814.80 is: 271,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,544.40 : 586,927.80 = 180,814.80 : x
  2. Step 2: Convert to fraction form
    391,544.40/586,927.80 = 180,814.80/x
  3. Step 3: Cross multiply
    391,544.40x = 586,927.80 × 180,814.80
  4. Step 4: Simplify right side
    391,544.40x = 106,125,232,771.44
  5. Step 5: Solve for x
    x = 106,125,232,771.44/391,544.40
  6. Step 6: Final answer
    x = 271,042.65

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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.