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Finding the Fourth Proportional to 212,930.52, 319,617.32 and 156,833.97

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Solution

The fourth proportional to 212,930.52, 319,617.32 and 156,833.97 is: 235,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,930.52 : 319,617.32 = 156,833.97 : x
  2. Step 2: Convert to fraction form
    212,930.52/319,617.32 = 156,833.97/x
  3. Step 3: Cross multiply
    212,930.52x = 319,617.32 × 156,833.97
  4. Step 4: Simplify right side
    212,930.52x = 50,126,852,392.19
  5. Step 5: Solve for x
    x = 50,126,852,392.19/212,930.52
  6. Step 6: Final answer
    x = 235,414.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.