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Finding the Fourth Proportional to 342,215.48, 513,395.52 and 128,978.88

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Solution

The fourth proportional to 342,215.48, 513,395.52 and 128,978.88 is: 193,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,215.48 : 513,395.52 = 128,978.88 : x
  2. Step 2: Convert to fraction form
    342,215.48/513,395.52 = 128,978.88/x
  3. Step 3: Cross multiply
    342,215.48x = 513,395.52 × 128,978.88
  4. Step 4: Simplify right side
    342,215.48x = 66,217,179,645.56
  5. Step 5: Solve for x
    x = 66,217,179,645.56/342,215.48
  6. Step 6: Final answer
    x = 193,495.57

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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.