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Finding the Fourth Proportional to 321,857.70, 482,786.55 and 180,140.10

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Solution

The fourth proportional to 321,857.70, 482,786.55 and 180,140.10 is: 270,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,857.70 : 482,786.55 = 180,140.10 : x
  2. Step 2: Convert to fraction form
    321,857.70/482,786.55 = 180,140.10/x
  3. Step 3: Cross multiply
    321,857.70x = 482,786.55 × 180,140.10
  4. Step 4: Simplify right side
    321,857.70x = 86,969,217,395.66
  5. Step 5: Solve for x
    x = 86,969,217,395.66/321,857.70
  6. Step 6: Final answer
    x = 270,210.15

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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.