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Finding the Fourth Proportional to 298,110.78, 446,731.29 and 138,235.50

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Solution

The fourth proportional to 298,110.78, 446,731.29 and 138,235.50 is: 207,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,110.78 : 446,731.29 = 138,235.50 : x
  2. Step 2: Convert to fraction form
    298,110.78/446,731.29 = 138,235.50/x
  3. Step 3: Cross multiply
    298,110.78x = 446,731.29 × 138,235.50
  4. Step 4: Simplify right side
    298,110.78x = 61,754,123,238.80
  5. Step 5: Solve for x
    x = 61,754,123,238.80/298,110.78
  6. Step 6: Final answer
    x = 207,151.59

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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.