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Finding the Fourth Proportional to 259,412, 357,988.56 and 140,180

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Solution

The fourth proportional to 259,412, 357,988.56 and 140,180 is: 193,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,412 : 357,988.56 = 140,180 : x
  2. Step 2: Convert to fraction form
    259,412/357,988.56 = 140,180/x
  3. Step 3: Cross multiply
    259,412x = 357,988.56 × 140,180
  4. Step 4: Simplify right side
    259,412x = 50,182,836,340.80
  5. Step 5: Solve for x
    x = 50,182,836,340.80/259,412
  6. Step 6: Final answer
    x = 193,448.40

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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.