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Finding the Fourth Proportional to 230,029.44, 317,423.52 and 129,408

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Solution

The fourth proportional to 230,029.44, 317,423.52 and 129,408 is: 178,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,029.44 : 317,423.52 = 129,408 : x
  2. Step 2: Convert to fraction form
    230,029.44/317,423.52 = 129,408/x
  3. Step 3: Cross multiply
    230,029.44x = 317,423.52 × 129,408
  4. Step 4: Simplify right side
    230,029.44x = 41,077,142,876.16
  5. Step 5: Solve for x
    x = 41,077,142,876.16/230,029.44
  6. Step 6: Final answer
    x = 178,573.42

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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.