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Finding the Fourth Proportional to 298,932.83, 448,090.22 and 138,878.18

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Solution

The fourth proportional to 298,932.83, 448,090.22 and 138,878.18 is: 208,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,932.83 : 448,090.22 = 138,878.18 : x
  2. Step 2: Convert to fraction form
    298,932.83/448,090.22 = 138,878.18/x
  3. Step 3: Cross multiply
    298,932.83x = 448,090.22 × 138,878.18
  4. Step 4: Simplify right side
    298,932.83x = 62,229,951,294.56
  5. Step 5: Solve for x
    x = 62,229,951,294.56/298,932.83
  6. Step 6: Final answer
    x = 208,173.70

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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.