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Finding the Fourth Proportional to 259,657.70, 389,616.15 and 147,424.10

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Solution

The fourth proportional to 259,657.70, 389,616.15 and 147,424.10 is: 221,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,657.70 : 389,616.15 = 147,424.10 : x
  2. Step 2: Convert to fraction form
    259,657.70/389,616.15 = 147,424.10/x
  3. Step 3: Cross multiply
    259,657.70x = 389,616.15 × 147,424.10
  4. Step 4: Simplify right side
    259,657.70x = 57,438,810,259.22
  5. Step 5: Solve for x
    x = 57,438,810,259.22/259,657.70
  6. Step 6: Final answer
    x = 221,209.73

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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.