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Finding the Fourth Proportional to 231,496.62, 319,394.49 and 150,894.78

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Solution

The fourth proportional to 231,496.62, 319,394.49 and 150,894.78 is: 208,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,496.62 : 319,394.49 = 150,894.78 : x
  2. Step 2: Convert to fraction form
    231,496.62/319,394.49 = 150,894.78/x
  3. Step 3: Cross multiply
    231,496.62x = 319,394.49 × 150,894.78
  4. Step 4: Simplify right side
    231,496.62x = 48,194,961,301.76
  5. Step 5: Solve for x
    x = 48,194,961,301.76/231,496.62
  6. Step 6: Final answer
    x = 208,188.62

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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.