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Finding the Fourth Proportional to 289,658.70, 434,617.65 and 131,805.90

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Solution

The fourth proportional to 289,658.70, 434,617.65 and 131,805.90 is: 197,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658.70 : 434,617.65 = 131,805.90 : x
  2. Step 2: Convert to fraction form
    289,658.70/434,617.65 = 131,805.90/x
  3. Step 3: Cross multiply
    289,658.70x = 434,617.65 × 131,805.90
  4. Step 4: Simplify right side
    289,658.70x = 57,285,170,514.14
  5. Step 5: Solve for x
    x = 57,285,170,514.14/289,658.70
  6. Step 6: Final answer
    x = 197,767.82

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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.