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Finding the Fourth Proportional to 312,199.73, 430,836.15 and 168,959.90

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Solution

The fourth proportional to 312,199.73, 430,836.15 and 168,959.90 is: 233,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199.73 : 430,836.15 = 168,959.90 : x
  2. Step 2: Convert to fraction form
    312,199.73/430,836.15 = 168,959.90/x
  3. Step 3: Cross multiply
    312,199.73x = 430,836.15 × 168,959.90
  4. Step 4: Simplify right side
    312,199.73x = 72,794,032,820.39
  5. Step 5: Solve for x
    x = 72,794,032,820.39/312,199.73
  6. Step 6: Final answer
    x = 233,164.94

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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.