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Finding the Fourth Proportional to 381,082.78, 525,894.25 and 211,316.91

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Solution

The fourth proportional to 381,082.78, 525,894.25 and 211,316.91 is: 291,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,082.78 : 525,894.25 = 211,316.91 : x
  2. Step 2: Convert to fraction form
    381,082.78/525,894.25 = 211,316.91/x
  3. Step 3: Cross multiply
    381,082.78x = 525,894.25 × 211,316.91
  4. Step 4: Simplify right side
    381,082.78x = 111,130,347,896.77
  5. Step 5: Solve for x
    x = 111,130,347,896.77/381,082.78
  6. Step 6: Final answer
    x = 291,617.34

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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.