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Finding the Fourth Proportional to 381,062, 526,013.50 and 285,845.70

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Solution

The fourth proportional to 381,062, 526,013.50 and 285,845.70 is: 394,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,062 : 526,013.50 = 285,845.70 : x
  2. Step 2: Convert to fraction form
    381,062/526,013.50 = 285,845.70/x
  3. Step 3: Cross multiply
    381,062x = 526,013.50 × 285,845.70
  4. Step 4: Simplify right side
    381,062x = 150,358,697,116.95
  5. Step 5: Solve for x
    x = 150,358,697,116.95/381,062
  6. Step 6: Final answer
    x = 394,578.04

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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.