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Finding the Fourth Proportional to 389,886.31, 584,850.09 and 109,425.43

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Solution

The fourth proportional to 389,886.31, 584,850.09 and 109,425.43 is: 164,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,886.31 : 584,850.09 = 109,425.43 : x
  2. Step 2: Convert to fraction form
    389,886.31/584,850.09 = 109,425.43/x
  3. Step 3: Cross multiply
    389,886.31x = 584,850.09 × 109,425.43
  4. Step 4: Simplify right side
    389,886.31x = 63,997,472,583.79
  5. Step 5: Solve for x
    x = 63,997,472,583.79/389,886.31
  6. Step 6: Final answer
    x = 164,143.93

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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.