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Finding the Fourth Proportional to 256,771.62, 354,281.17 and 166,018.38

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Solution

The fourth proportional to 256,771.62, 354,281.17 and 166,018.38 is: 229,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,771.62 : 354,281.17 = 166,018.38 : x
  2. Step 2: Convert to fraction form
    256,771.62/354,281.17 = 166,018.38/x
  3. Step 3: Cross multiply
    256,771.62x = 354,281.17 × 166,018.38
  4. Step 4: Simplify right side
    256,771.62x = 58,817,187,208.65
  5. Step 5: Solve for x
    x = 58,817,187,208.65/256,771.62
  6. Step 6: Final answer
    x = 229,064.20

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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.