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Finding the Fourth Proportional to 230,371.65, 317,938.64 and 128,406.42

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Solution

The fourth proportional to 230,371.65, 317,938.64 and 128,406.42 is: 177,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,371.65 : 317,938.64 = 128,406.42 : x
  2. Step 2: Convert to fraction form
    230,371.65/317,938.64 = 128,406.42/x
  3. Step 3: Cross multiply
    230,371.65x = 317,938.64 × 128,406.42
  4. Step 4: Simplify right side
    230,371.65x = 40,825,361,900.04
  5. Step 5: Solve for x
    x = 40,825,361,900.04/230,371.65
  6. Step 6: Final answer
    x = 177,215.22

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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.