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Finding the Fourth Proportional to 230,037.88, 317,379 and 129,416.44

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Solution

The fourth proportional to 230,037.88, 317,379 and 129,416.44 is: 178,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,037.88 : 317,379 = 129,416.44 : x
  2. Step 2: Convert to fraction form
    230,037.88/317,379 = 129,416.44/x
  3. Step 3: Cross multiply
    230,037.88x = 317,379 × 129,416.44
  4. Step 4: Simplify right side
    230,037.88x = 41,074,060,310.76
  5. Step 5: Solve for x
    x = 41,074,060,310.76/230,037.88
  6. Step 6: Final answer
    x = 178,553.46

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1.5x scale

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.