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Finding the Fourth Proportional to 289,307.44, 399,278.38 and 161,958.44

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Solution

The fourth proportional to 289,307.44, 399,278.38 and 161,958.44 is: 223,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,307.44 : 399,278.38 = 161,958.44 : x
  2. Step 2: Convert to fraction form
    289,307.44/399,278.38 = 161,958.44/x
  3. Step 3: Cross multiply
    289,307.44x = 399,278.38 × 161,958.44
  4. Step 4: Simplify right side
    289,307.44x = 64,666,503,550.53
  5. Step 5: Solve for x
    x = 64,666,503,550.53/289,307.44
  6. Step 6: Final answer
    x = 223,521.74

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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.