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Finding the Fourth Proportional to 290,509.60, 435,789.50 and 80,147.53

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Solution

The fourth proportional to 290,509.60, 435,789.50 and 80,147.53 is: 120,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,509.60 : 435,789.50 = 80,147.53 : x
  2. Step 2: Convert to fraction form
    290,509.60/435,789.50 = 80,147.53/x
  3. Step 3: Cross multiply
    290,509.60x = 435,789.50 × 80,147.53
  4. Step 4: Simplify right side
    290,509.60x = 34,927,451,624.20
  5. Step 5: Solve for x
    x = 34,927,451,624.20/290,509.60
  6. Step 6: Final answer
    x = 120,228.22

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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.