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Finding the Fourth Proportional to 198,438, 297,652.68 and 48,679

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Solution

The fourth proportional to 198,438, 297,652.68 and 48,679 is: 73,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438 : 297,652.68 = 48,679 : x
  2. Step 2: Convert to fraction form
    198,438/297,652.68 = 48,679/x
  3. Step 3: Cross multiply
    198,438x = 297,652.68 × 48,679
  4. Step 4: Simplify right side
    198,438x = 14,489,434,809.72
  5. Step 5: Solve for x
    x = 14,489,434,809.72/198,438
  6. Step 6: Final answer
    x = 73,017.44

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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.