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Finding the Fourth Proportional to 253,871.13, 380,432.34 and 141,396.42

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Solution

The fourth proportional to 253,871.13, 380,432.34 and 141,396.42 is: 211,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,871.13 : 380,432.34 = 141,396.42 : x
  2. Step 2: Convert to fraction form
    253,871.13/380,432.34 = 141,396.42/x
  3. Step 3: Cross multiply
    253,871.13x = 380,432.34 × 141,396.42
  4. Step 4: Simplify right side
    253,871.13x = 53,791,770,928.22
  5. Step 5: Solve for x
    x = 53,791,770,928.22/253,871.13
  6. Step 6: Final answer
    x = 211,886.13

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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.