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Finding the Fourth Proportional to 254,291.40, 381,609.90 and 141,971.40

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Solution

The fourth proportional to 254,291.40, 381,609.90 and 141,971.40 is: 213,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,291.40 : 381,609.90 = 141,971.40 : x
  2. Step 2: Convert to fraction form
    254,291.40/381,609.90 = 141,971.40/x
  3. Step 3: Cross multiply
    254,291.40x = 381,609.90 × 141,971.40
  4. Step 4: Simplify right side
    254,291.40x = 54,177,691,756.86
  5. Step 5: Solve for x
    x = 54,177,691,756.86/254,291.40
  6. Step 6: Final answer
    x = 213,053.57

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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.