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Finding the Fourth Proportional to 290,231.20, 435,106.86 and 110,279.38

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Solution

The fourth proportional to 290,231.20, 435,106.86 and 110,279.38 is: 165,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,231.20 : 435,106.86 = 110,279.38 : x
  2. Step 2: Convert to fraction form
    290,231.20/435,106.86 = 110,279.38/x
  3. Step 3: Cross multiply
    290,231.20x = 435,106.86 × 110,279.38
  4. Step 4: Simplify right side
    290,231.20x = 47,983,314,754.55
  5. Step 5: Solve for x
    x = 47,983,314,754.55/290,231.20
  6. Step 6: Final answer
    x = 165,327.90

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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.