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Finding the Fourth Proportional to 389,862, 538,011.18 and 211,014

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Solution

The fourth proportional to 389,862, 538,011.18 and 211,014 is: 291,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,862 : 538,011.18 = 211,014 : x
  2. Step 2: Convert to fraction form
    389,862/538,011.18 = 211,014/x
  3. Step 3: Cross multiply
    389,862x = 538,011.18 × 211,014
  4. Step 4: Simplify right side
    389,862x = 113,527,891,136.52
  5. Step 5: Solve for x
    x = 113,527,891,136.52/389,862
  6. Step 6: Final answer
    x = 291,200.20

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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.