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Finding the Fourth Proportional to 230,520, 318,123.23 and 128,544.47

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Solution

The fourth proportional to 230,520, 318,123.23 and 128,544.47 is: 177,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,520 : 318,123.23 = 128,544.47 : x
  2. Step 2: Convert to fraction form
    230,520/318,123.23 = 128,544.47/x
  3. Step 3: Cross multiply
    230,520x = 318,123.23 × 128,544.47
  4. Step 4: Simplify right side
    230,520x = 40,892,979,761.70
  5. Step 5: Solve for x
    x = 40,892,979,761.70/230,520
  6. Step 6: Final answer
    x = 177,394.50

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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.