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Finding the Fourth Proportional to 259,820.80, 389,731.20 and 169,619.20

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Solution

The fourth proportional to 259,820.80, 389,731.20 and 169,619.20 is: 254,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,820.80 : 389,731.20 = 169,619.20 : x
  2. Step 2: Convert to fraction form
    259,820.80/389,731.20 = 169,619.20/x
  3. Step 3: Cross multiply
    259,820.80x = 389,731.20 × 169,619.20
  4. Step 4: Simplify right side
    259,820.80x = 66,105,894,359.04
  5. Step 5: Solve for x
    x = 66,105,894,359.04/259,820.80
  6. Step 6: Final answer
    x = 254,428.80

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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.