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Finding the Fourth Proportional to 259,560.80, 389,341.20 and 152,835.20

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Solution

The fourth proportional to 259,560.80, 389,341.20 and 152,835.20 is: 229,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,560.80 : 389,341.20 = 152,835.20 : x
  2. Step 2: Convert to fraction form
    259,560.80/389,341.20 = 152,835.20/x
  3. Step 3: Cross multiply
    259,560.80x = 389,341.20 × 152,835.20
  4. Step 4: Simplify right side
    259,560.80x = 59,505,040,170.24
  5. Step 5: Solve for x
    x = 59,505,040,170.24/259,560.80
  6. Step 6: Final answer
    x = 229,252.80

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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.