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Finding the Fourth Proportional to 290,323.13, 435,546.90 and 100,789.50

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Solution

The fourth proportional to 290,323.13, 435,546.90 and 100,789.50 is: 151,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,323.13 : 435,546.90 = 100,789.50 : x
  2. Step 2: Convert to fraction form
    290,323.13/435,546.90 = 100,789.50/x
  3. Step 3: Cross multiply
    290,323.13x = 435,546.90 × 100,789.50
  4. Step 4: Simplify right side
    290,323.13x = 43,898,554,277.55
  5. Step 5: Solve for x
    x = 43,898,554,277.55/290,323.13
  6. Step 6: Final answer
    x = 151,205.85

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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.