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Finding the Fourth Proportional to 289,294.94, 399,224.40 and 161,972.66

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Solution

The fourth proportional to 289,294.94, 399,224.40 and 161,972.66 is: 223,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294.94 : 399,224.40 = 161,972.66 : x
  2. Step 2: Convert to fraction form
    289,294.94/399,224.40 = 161,972.66/x
  3. Step 3: Cross multiply
    289,294.94x = 399,224.40 × 161,972.66
  4. Step 4: Simplify right side
    289,294.94x = 64,663,438,395.57
  5. Step 5: Solve for x
    x = 64,663,438,395.57/289,294.94
  6. Step 6: Final answer
    x = 223,520.80

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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.