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Finding the Fourth Proportional to 421,162.16, 581,241.24 and 239,834.48

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Solution

The fourth proportional to 421,162.16, 581,241.24 and 239,834.48 is: 330,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,162.16 : 581,241.24 = 239,834.48 : x
  2. Step 2: Convert to fraction form
    421,162.16/581,241.24 = 239,834.48/x
  3. Step 3: Cross multiply
    421,162.16x = 581,241.24 × 239,834.48
  4. Step 4: Simplify right side
    421,162.16x = 139,401,690,549.96
  5. Step 5: Solve for x
    x = 139,401,690,549.96/421,162.16
  6. Step 6: Final answer
    x = 330,992.91

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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.