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Finding the Fourth Proportional to 381,153.70, 526,024.41 and 211,442.50

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Solution

The fourth proportional to 381,153.70, 526,024.41 and 211,442.50 is: 291,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,153.70 : 526,024.41 = 211,442.50 : x
  2. Step 2: Convert to fraction form
    381,153.70/526,024.41 = 211,442.50/x
  3. Step 3: Cross multiply
    381,153.70x = 526,024.41 × 211,442.50
  4. Step 4: Simplify right side
    381,153.70x = 111,223,916,311.43
  5. Step 5: Solve for x
    x = 111,223,916,311.43/381,153.70
  6. Step 6: Final answer
    x = 291,808.57

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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.