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Finding the Fourth Proportional to 389,876.50, 538,031.19 and 211,028.50

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Solution

The fourth proportional to 389,876.50, 538,031.19 and 211,028.50 is: 291,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,876.50 : 538,031.19 = 211,028.50 : x
  2. Step 2: Convert to fraction form
    389,876.50/538,031.19 = 211,028.50/x
  3. Step 3: Cross multiply
    389,876.50x = 538,031.19 × 211,028.50
  4. Step 4: Simplify right side
    389,876.50x = 113,539,914,978.92
  5. Step 5: Solve for x
    x = 113,539,914,978.92/389,876.50
  6. Step 6: Final answer
    x = 291,220.21

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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.