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Finding the Fourth Proportional to 298,974.78, 448,364.70 and 99,241.56

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Solution

The fourth proportional to 298,974.78, 448,364.70 and 99,241.56 is: 148,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,974.78 : 448,364.70 = 99,241.56 : x
  2. Step 2: Convert to fraction form
    298,974.78/448,364.70 = 99,241.56/x
  3. Step 3: Cross multiply
    298,974.78x = 448,364.70 × 99,241.56
  4. Step 4: Simplify right side
    298,974.78x = 44,496,412,276.93
  5. Step 5: Solve for x
    x = 44,496,412,276.93/298,974.78
  6. Step 6: Final answer
    x = 148,829.99

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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.