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Finding the Fourth Proportional to 290,342.97, 435,315.48 and 147,912.57

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Solution

The fourth proportional to 290,342.97, 435,315.48 and 147,912.57 is: 221,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,342.97 : 435,315.48 = 147,912.57 : x
  2. Step 2: Convert to fraction form
    290,342.97/435,315.48 = 147,912.57/x
  3. Step 3: Cross multiply
    290,342.97x = 435,315.48 × 147,912.57
  4. Step 4: Simplify right side
    290,342.97x = 64,388,631,407.58
  5. Step 5: Solve for x
    x = 64,388,631,407.58/290,342.97
  6. Step 6: Final answer
    x = 221,767.49

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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.