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Finding the Fourth Proportional to 381,686.10, 533,660.70 and 381,686.10

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Solution

The fourth proportional to 381,686.10, 533,660.70 and 381,686.10 is: 533,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,686.10 : 533,660.70 = 381,686.10 : x
  2. Step 2: Convert to fraction form
    381,686.10/533,660.70 = 381,686.10/x
  3. Step 3: Cross multiply
    381,686.10x = 533,660.70 × 381,686.10
  4. Step 4: Simplify right side
    381,686.10x = 203,690,871,306.27
  5. Step 5: Solve for x
    x = 203,690,871,306.27/381,686.10
  6. Step 6: Final answer
    x = 533,660.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.