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Finding the Fourth Proportional to 230,396.18, 317,948.28 and 128,428.24

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Solution

The fourth proportional to 230,396.18, 317,948.28 and 128,428.24 is: 177,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,396.18 : 317,948.28 = 128,428.24 : x
  2. Step 2: Convert to fraction form
    230,396.18/317,948.28 = 128,428.24/x
  3. Step 3: Cross multiply
    230,396.18x = 317,948.28 × 128,428.24
  4. Step 4: Simplify right side
    230,396.18x = 40,833,538,011.43
  5. Step 5: Solve for x
    x = 40,833,538,011.43/230,396.18
  6. Step 6: Final answer
    x = 177,231.84

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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.