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Finding the Fourth Proportional to 230,213.30, 317,689.56 and 128,238.62

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Solution

The fourth proportional to 230,213.30, 317,689.56 and 128,238.62 is: 176,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,213.30 : 317,689.56 = 128,238.62 : x
  2. Step 2: Convert to fraction form
    230,213.30/317,689.56 = 128,238.62/x
  3. Step 3: Cross multiply
    230,213.30x = 317,689.56 × 128,238.62
  4. Step 4: Simplify right side
    230,213.30x = 40,740,069,174.36
  5. Step 5: Solve for x
    x = 40,740,069,174.36/230,213.30
  6. Step 6: Final answer
    x = 176,966.62

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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.