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Finding the Fourth Proportional to 407,109, 561,835.86 and 235,058.44

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Solution

The fourth proportional to 407,109, 561,835.86 and 235,058.44 is: 324,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,109 : 561,835.86 = 235,058.44 : x
  2. Step 2: Convert to fraction form
    407,109/561,835.86 = 235,058.44/x
  3. Step 3: Cross multiply
    407,109x = 561,835.86 × 235,058.44
  4. Step 4: Simplify right side
    407,109x = 132,064,260,787.66
  5. Step 5: Solve for x
    x = 132,064,260,787.66/407,109
  6. Step 6: Final answer
    x = 324,395.34

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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.