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Finding the Fourth Proportional to 389,892.31, 584,859.09 and 109,431.43

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Solution

The fourth proportional to 389,892.31, 584,859.09 and 109,431.43 is: 164,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,892.31 : 584,859.09 = 109,431.43 : x
  2. Step 2: Convert to fraction form
    389,892.31/584,859.09 = 109,431.43/x
  3. Step 3: Cross multiply
    389,892.31x = 584,859.09 × 109,431.43
  4. Step 4: Simplify right side
    389,892.31x = 64,001,966,567.20
  5. Step 5: Solve for x
    x = 64,001,966,567.20/389,892.31
  6. Step 6: Final answer
    x = 164,152.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.