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Finding the Fourth Proportional to 498,446, 747,669 and 148,238

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Solution

The fourth proportional to 498,446, 747,669 and 148,238 is: 222,357

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,446 : 747,669 = 148,238 : x
  2. Step 2: Convert to fraction form
    498,446/747,669 = 148,238/x
  3. Step 3: Cross multiply
    498,446x = 747,669 × 148,238
  4. Step 4: Simplify right side
    498,446x = 110,832,957,222
  5. Step 5: Solve for x
    x = 110,832,957,222/498,446
  6. Step 6: Final answer
    x = 222,357

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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.