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Finding the Fourth Proportional to 198,290.31, 297,439.31 and 48,531.90

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Solution

The fourth proportional to 198,290.31, 297,439.31 and 48,531.90 is: 72,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,290.31 : 297,439.31 = 48,531.90 : x
  2. Step 2: Convert to fraction form
    198,290.31/297,439.31 = 48,531.90/x
  3. Step 3: Cross multiply
    198,290.31x = 297,439.31 × 48,531.90
  4. Step 4: Simplify right side
    198,290.31x = 14,435,294,848.99
  5. Step 5: Solve for x
    x = 14,435,294,848.99/198,290.31
  6. Step 6: Final answer
    x = 72,798.79

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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.