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Finding the Fourth Proportional to 298,938.45, 448,310.10 and 99,205.20

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Solution

The fourth proportional to 298,938.45, 448,310.10 and 99,205.20 is: 148,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,938.45 : 448,310.10 = 99,205.20 : x
  2. Step 2: Convert to fraction form
    298,938.45/448,310.10 = 99,205.20/x
  3. Step 3: Cross multiply
    298,938.45x = 448,310.10 × 99,205.20
  4. Step 4: Simplify right side
    298,938.45x = 44,474,693,132.52
  5. Step 5: Solve for x
    x = 44,474,693,132.52/298,938.45
  6. Step 6: Final answer
    x = 148,775.42

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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.