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Finding the Fourth Proportional to 311,882.82, 430,398.54 and 168,642.96

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Solution

The fourth proportional to 311,882.82, 430,398.54 and 168,642.96 is: 232,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,882.82 : 430,398.54 = 168,642.96 : x
  2. Step 2: Convert to fraction form
    311,882.82/430,398.54 = 168,642.96/x
  3. Step 3: Cross multiply
    311,882.82x = 430,398.54 × 168,642.96
  4. Step 4: Simplify right side
    311,882.82x = 72,583,683,765.28
  5. Step 5: Solve for x
    x = 72,583,683,765.28/311,882.82
  6. Step 6: Final answer
    x = 232,727.42

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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.