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Finding the Fourth Proportional to 405,197.92, 559,181.10 and 262,207

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Solution

The fourth proportional to 405,197.92, 559,181.10 and 262,207 is: 361,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,197.92 : 559,181.10 = 262,207 : x
  2. Step 2: Convert to fraction form
    405,197.92/559,181.10 = 262,207/x
  3. Step 3: Cross multiply
    405,197.92x = 559,181.10 × 262,207
  4. Step 4: Simplify right side
    405,197.92x = 146,621,198,687.70
  5. Step 5: Solve for x
    x = 146,621,198,687.70/405,197.92
  6. Step 6: Final answer
    x = 361,850.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.