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Finding the Fourth Proportional to 290,819.60, 435,905.40 and 113,267.60

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Solution

The fourth proportional to 290,819.60, 435,905.40 and 113,267.60 is: 169,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,819.60 : 435,905.40 = 113,267.60 : x
  2. Step 2: Convert to fraction form
    290,819.60/435,905.40 = 113,267.60/x
  3. Step 3: Cross multiply
    290,819.60x = 435,905.40 × 113,267.60
  4. Step 4: Simplify right side
    290,819.60x = 49,373,958,485.04
  5. Step 5: Solve for x
    x = 49,373,958,485.04/290,819.60
  6. Step 6: Final answer
    x = 169,775.21

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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.