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Finding the Fourth Proportional to 289,283.90, 433,954.38 and 99,719.31

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Solution

The fourth proportional to 289,283.90, 433,954.38 and 99,719.31 is: 149,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,283.90 : 433,954.38 = 99,719.31 : x
  2. Step 2: Convert to fraction form
    289,283.90/433,954.38 = 99,719.31/x
  3. Step 3: Cross multiply
    289,283.90x = 433,954.38 × 99,719.31
  4. Step 4: Simplify right side
    289,283.90x = 43,273,629,175.31
  5. Step 5: Solve for x
    x = 43,273,629,175.31/289,283.90
  6. Step 6: Final answer
    x = 149,588.79

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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.