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Finding the Fourth Proportional to 380,813.50, 525,522.63 and 211,058.56

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Solution

The fourth proportional to 380,813.50, 525,522.63 and 211,058.56 is: 291,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,813.50 : 525,522.63 = 211,058.56 : x
  2. Step 2: Convert to fraction form
    380,813.50/525,522.63 = 211,058.56/x
  3. Step 3: Cross multiply
    380,813.50x = 525,522.63 × 211,058.56
  4. Step 4: Simplify right side
    380,813.50x = 110,916,049,535.21
  5. Step 5: Solve for x
    x = 110,916,049,535.21/380,813.50
  6. Step 6: Final answer
    x = 291,260.81

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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.