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Finding the Fourth Proportional to 347,995.78, 521,996.75 and 137,633.74

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Solution

The fourth proportional to 347,995.78, 521,996.75 and 137,633.74 is: 206,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,995.78 : 521,996.75 = 137,633.74 : x
  2. Step 2: Convert to fraction form
    347,995.78/521,996.75 = 137,633.74/x
  3. Step 3: Cross multiply
    347,995.78x = 521,996.75 × 137,633.74
  4. Step 4: Simplify right side
    347,995.78x = 71,844,364,970.35
  5. Step 5: Solve for x
    x = 71,844,364,970.35/347,995.78
  6. Step 6: Final answer
    x = 206,451.83

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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.