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Finding the Fourth Proportional to 260,689.68, 359,759.34 and 147,510

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Solution

The fourth proportional to 260,689.68, 359,759.34 and 147,510 is: 203,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,689.68 : 359,759.34 = 147,510 : x
  2. Step 2: Convert to fraction form
    260,689.68/359,759.34 = 147,510/x
  3. Step 3: Cross multiply
    260,689.68x = 359,759.34 × 147,510
  4. Step 4: Simplify right side
    260,689.68x = 53,068,100,243.40
  5. Step 5: Solve for x
    x = 53,068,100,243.40/260,689.68
  6. Step 6: Final answer
    x = 203,568.09

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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.