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Finding the Fourth Proportional to 290,509.72, 435,789.68 and 80,147.66

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Solution

The fourth proportional to 290,509.72, 435,789.68 and 80,147.66 is: 120,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,509.72 : 435,789.68 = 80,147.66 : x
  2. Step 2: Convert to fraction form
    290,509.72/435,789.68 = 80,147.66/x
  3. Step 3: Cross multiply
    290,509.72x = 435,789.68 × 80,147.66
  4. Step 4: Simplify right side
    290,509.72x = 34,927,521,125.57
  5. Step 5: Solve for x
    x = 34,927,521,125.57/290,509.72
  6. Step 6: Final answer
    x = 120,228.41

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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.