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Finding the Fourth Proportional to 389,859.75, 538,008.08 and 211,011.75

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Solution

The fourth proportional to 389,859.75, 538,008.08 and 211,011.75 is: 291,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,859.75 : 538,008.08 = 211,011.75 : x
  2. Step 2: Convert to fraction form
    389,859.75/538,008.08 = 211,011.75/x
  3. Step 3: Cross multiply
    389,859.75x = 538,008.08 × 211,011.75
  4. Step 4: Simplify right side
    389,859.75x = 113,526,025,419.88
  5. Step 5: Solve for x
    x = 113,526,025,419.88/389,859.75
  6. Step 6: Final answer
    x = 291,197.09

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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.