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Finding the Fourth Proportional to 290,352.14, 435,588.84 and 146,338.90

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Solution

The fourth proportional to 290,352.14, 435,588.84 and 146,338.90 is: 219,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,352.14 : 435,588.84 = 146,338.90 : x
  2. Step 2: Convert to fraction form
    290,352.14/435,588.84 = 146,338.90/x
  3. Step 3: Cross multiply
    290,352.14x = 435,588.84 × 146,338.90
  4. Step 4: Simplify right side
    290,352.14x = 63,743,593,059.09
  5. Step 5: Solve for x
    x = 63,743,593,059.09/290,352.14
  6. Step 6: Final answer
    x = 219,538.91

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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.