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Finding the Fourth Proportional to 262,803.10, 394,301.85 and 85,315.90

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Solution

The fourth proportional to 262,803.10, 394,301.85 and 85,315.90 is: 128,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,803.10 : 394,301.85 = 85,315.90 : x
  2. Step 2: Convert to fraction form
    262,803.10/394,301.85 = 85,315.90/x
  3. Step 3: Cross multiply
    262,803.10x = 394,301.85 × 85,315.90
  4. Step 4: Simplify right side
    262,803.10x = 33,640,217,204.42
  5. Step 5: Solve for x
    x = 33,640,217,204.42/262,803.10
  6. Step 6: Final answer
    x = 128,005.40

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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.