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Finding the Fourth Proportional to 289,288.64, 399,260.24 and 161,972.44

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Solution

The fourth proportional to 289,288.64, 399,260.24 and 161,972.44 is: 223,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,288.64 : 399,260.24 = 161,972.44 : x
  2. Step 2: Convert to fraction form
    289,288.64/399,260.24 = 161,972.44/x
  3. Step 3: Cross multiply
    289,288.64x = 399,260.24 × 161,972.44
  4. Step 4: Simplify right side
    289,288.64x = 64,669,155,267.79
  5. Step 5: Solve for x
    x = 64,669,155,267.79/289,288.64
  6. Step 6: Final answer
    x = 223,545.44

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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.