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Finding the Fourth Proportional to 230,289.80, 317,795.13 and 128,314.85

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Solution

The fourth proportional to 230,289.80, 317,795.13 and 128,314.85 is: 177,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,289.80 : 317,795.13 = 128,314.85 : x
  2. Step 2: Convert to fraction form
    230,289.80/317,795.13 = 128,314.85/x
  3. Step 3: Cross multiply
    230,289.80x = 317,795.13 × 128,314.85
  4. Step 4: Simplify right side
    230,289.80x = 40,777,832,847.70
  5. Step 5: Solve for x
    x = 40,777,832,847.70/230,289.80
  6. Step 6: Final answer
    x = 177,071.82

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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.