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Finding the Fourth Proportional to 427,963.98, 641,705.85 and 293,180.37

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Solution

The fourth proportional to 427,963.98, 641,705.85 and 293,180.37 is: 439,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,963.98 : 641,705.85 = 293,180.37 : x
  2. Step 2: Convert to fraction form
    427,963.98/641,705.85 = 293,180.37/x
  3. Step 3: Cross multiply
    427,963.98x = 641,705.85 × 293,180.37
  4. Step 4: Simplify right side
    427,963.98x = 188,135,558,534.17
  5. Step 5: Solve for x
    x = 188,135,558,534.17/427,963.98
  6. Step 6: Final answer
    x = 439,606.06

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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.