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Finding the Fourth Proportional to 493,680.56, 740,546.20 and 138,722.24

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Solution

The fourth proportional to 493,680.56, 740,546.20 and 138,722.24 is: 208,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,680.56 : 740,546.20 = 138,722.24 : x
  2. Step 2: Convert to fraction form
    493,680.56/740,546.20 = 138,722.24/x
  3. Step 3: Cross multiply
    493,680.56x = 740,546.20 × 138,722.24
  4. Step 4: Simplify right side
    493,680.56x = 102,730,227,687.49
  5. Step 5: Solve for x
    x = 102,730,227,687.49/493,680.56
  6. Step 6: Final answer
    x = 208,090.49

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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.