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Finding the Fourth Proportional to 381,142.62, 525,973.16 and 209,057.02

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Solution

The fourth proportional to 381,142.62, 525,973.16 and 209,057.02 is: 288,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,142.62 : 525,973.16 = 209,057.02 : x
  2. Step 2: Convert to fraction form
    381,142.62/525,973.16 = 209,057.02/x
  3. Step 3: Cross multiply
    381,142.62x = 525,973.16 × 209,057.02
  4. Step 4: Simplify right side
    381,142.62x = 109,958,380,637.29
  5. Step 5: Solve for x
    x = 109,958,380,637.29/381,142.62
  6. Step 6: Final answer
    x = 288,496.68

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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.