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Finding the Fourth Proportional to 260,639.68, 359,721.12 and 165,155.20

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Solution

The fourth proportional to 260,639.68, 359,721.12 and 165,155.20 is: 227,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,639.68 : 359,721.12 = 165,155.20 : x
  2. Step 2: Convert to fraction form
    260,639.68/359,721.12 = 165,155.20/x
  3. Step 3: Cross multiply
    260,639.68x = 359,721.12 × 165,155.20
  4. Step 4: Simplify right side
    260,639.68x = 59,409,813,517.82
  5. Step 5: Solve for x
    x = 59,409,813,517.82/260,639.68
  6. Step 6: Final answer
    x = 227,938.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.