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Finding the Fourth Proportional to 429,765.66, 644,427 and 192,905.31

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Solution

The fourth proportional to 429,765.66, 644,427 and 192,905.31 is: 289,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,765.66 : 644,427 = 192,905.31 : x
  2. Step 2: Convert to fraction form
    429,765.66/644,427 = 192,905.31/x
  3. Step 3: Cross multiply
    429,765.66x = 644,427 × 192,905.31
  4. Step 4: Simplify right side
    429,765.66x = 124,313,390,207.37
  5. Step 5: Solve for x
    x = 124,313,390,207.37/429,765.66
  6. Step 6: Final answer
    x = 289,258.55

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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.