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Finding the Fourth Proportional to 230,415.50, 317,968.83 and 128,434.88

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Solution

The fourth proportional to 230,415.50, 317,968.83 and 128,434.88 is: 177,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,415.50 : 317,968.83 = 128,434.88 : x
  2. Step 2: Convert to fraction form
    230,415.50/317,968.83 = 128,434.88/x
  3. Step 3: Cross multiply
    230,415.50x = 317,968.83 × 128,434.88
  4. Step 4: Simplify right side
    230,415.50x = 40,838,288,524.79
  5. Step 5: Solve for x
    x = 40,838,288,524.79/230,415.50
  6. Step 6: Final answer
    x = 177,237.59

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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.