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Finding the Fourth Proportional to 389,862.52, 538,041.54 and 309,949.54

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Solution

The fourth proportional to 389,862.52, 538,041.54 and 309,949.54 is: 427,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,862.52 : 538,041.54 = 309,949.54 : x
  2. Step 2: Convert to fraction form
    389,862.52/538,041.54 = 309,949.54/x
  3. Step 3: Cross multiply
    389,862.52x = 538,041.54 × 309,949.54
  4. Step 4: Simplify right side
    389,862.52x = 166,765,728,006.69
  5. Step 5: Solve for x
    x = 166,765,728,006.69/389,862.52
  6. Step 6: Final answer
    x = 427,755.22

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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.