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Finding the Fourth Proportional to 520,843.42, 781,339.97 and 161,042.34

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Solution

The fourth proportional to 520,843.42, 781,339.97 and 161,042.34 is: 241,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,843.42 : 781,339.97 = 161,042.34 : x
  2. Step 2: Convert to fraction form
    520,843.42/781,339.97 = 161,042.34/x
  3. Step 3: Cross multiply
    520,843.42x = 781,339.97 × 161,042.34
  4. Step 4: Simplify right side
    520,843.42x = 125,828,817,104.33
  5. Step 5: Solve for x
    x = 125,828,817,104.33/520,843.42
  6. Step 6: Final answer
    x = 241,586.65

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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.