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Finding the Fourth Proportional to 429,766.66, 644,428.50 and 192,906.31

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Solution

The fourth proportional to 429,766.66, 644,428.50 and 192,906.31 is: 289,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,766.66 : 644,428.50 = 192,906.31 : x
  2. Step 2: Convert to fraction form
    429,766.66/644,428.50 = 192,906.31/x
  3. Step 3: Cross multiply
    429,766.66x = 644,428.50 × 192,906.31
  4. Step 4: Simplify right side
    429,766.66x = 124,314,323,993.84
  5. Step 5: Solve for x
    x = 124,314,323,993.84/429,766.66
  6. Step 6: Final answer
    x = 289,260.05

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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.