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Finding the Fourth Proportional to 611,090.31, 843,265.23 and 339,158.43

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Solution

The fourth proportional to 611,090.31, 843,265.23 and 339,158.43 is: 468,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,090.31 : 843,265.23 = 339,158.43 : x
  2. Step 2: Convert to fraction form
    611,090.31/843,265.23 = 339,158.43/x
  3. Step 3: Cross multiply
    611,090.31x = 843,265.23 × 339,158.43
  4. Step 4: Simplify right side
    611,090.31x = 286,000,511,480.39
  5. Step 5: Solve for x
    x = 286,000,511,480.39/611,090.31
  6. Step 6: Final answer
    x = 468,016.77

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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.