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Finding the Fourth Proportional to 813,150, 1,122,147 and 495,198

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Solution

The fourth proportional to 813,150, 1,122,147 and 495,198 is: 683,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,150 : 1,122,147 = 495,198 : x
  2. Step 2: Convert to fraction form
    813,150/1,122,147 = 495,198/x
  3. Step 3: Cross multiply
    813,150x = 1,122,147 × 495,198
  4. Step 4: Simplify right side
    813,150x = 555,684,950,106
  5. Step 5: Solve for x
    x = 555,684,950,106/813,150
  6. Step 6: Final answer
    x = 683,373.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.