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Finding the Fourth Proportional to 230,412.94, 317,988.30 and 128,471.44

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Solution

The fourth proportional to 230,412.94, 317,988.30 and 128,471.44 is: 177,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,412.94 : 317,988.30 = 128,471.44 : x
  2. Step 2: Convert to fraction form
    230,412.94/317,988.30 = 128,471.44/x
  3. Step 3: Cross multiply
    230,412.94x = 317,988.30 × 128,471.44
  4. Step 4: Simplify right side
    230,412.94x = 40,852,414,804.15
  5. Step 5: Solve for x
    x = 40,852,414,804.15/230,412.94
  6. Step 6: Final answer
    x = 177,300.87

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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.