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Finding the Fourth Proportional to 813,145, 1,122,140.10 and 495,193

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Solution

The fourth proportional to 813,145, 1,122,140.10 and 495,193 is: 683,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,145 : 1,122,140.10 = 495,193 : x
  2. Step 2: Convert to fraction form
    813,145/1,122,140.10 = 495,193/x
  3. Step 3: Cross multiply
    813,145x = 1,122,140.10 × 495,193
  4. Step 4: Simplify right side
    813,145x = 555,675,922,539.30
  5. Step 5: Solve for x
    x = 555,675,922,539.30/813,145
  6. Step 6: Final answer
    x = 683,366.34

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1.5x scale

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.