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Finding the Fourth Proportional to 561,729.82, 842,600.90 and 162,374.06

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Solution

The fourth proportional to 561,729.82, 842,600.90 and 162,374.06 is: 243,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,729.82 : 842,600.90 = 162,374.06 : x
  2. Step 2: Convert to fraction form
    561,729.82/842,600.90 = 162,374.06/x
  3. Step 3: Cross multiply
    561,729.82x = 842,600.90 × 162,374.06
  4. Step 4: Simplify right side
    561,729.82x = 136,816,529,092.65
  5. Step 5: Solve for x
    x = 136,816,529,092.65/561,729.82
  6. Step 6: Final answer
    x = 243,562.87

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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.