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Finding the Fourth Proportional to 253,882.54, 380,449.59 and 141,407.92

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Solution

The fourth proportional to 253,882.54, 380,449.59 and 141,407.92 is: 211,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,882.54 : 380,449.59 = 141,407.92 : x
  2. Step 2: Convert to fraction form
    253,882.54/380,449.59 = 141,407.92/x
  3. Step 3: Cross multiply
    253,882.54x = 380,449.59 × 141,407.92
  4. Step 4: Simplify right side
    253,882.54x = 53,798,585,186.75
  5. Step 5: Solve for x
    x = 53,798,585,186.75/253,882.54
  6. Step 6: Final answer
    x = 211,903.45

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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.