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Finding the Fourth Proportional to 280,242.99, 386,743.87 and 159,401.69

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Solution

The fourth proportional to 280,242.99, 386,743.87 and 159,401.69 is: 219,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242.99 : 386,743.87 = 159,401.69 : x
  2. Step 2: Convert to fraction form
    280,242.99/386,743.87 = 159,401.69/x
  3. Step 3: Cross multiply
    280,242.99x = 386,743.87 × 159,401.69
  4. Step 4: Simplify right side
    280,242.99x = 61,647,623,744.41
  5. Step 5: Solve for x
    x = 61,647,623,744.41/280,242.99
  6. Step 6: Final answer
    x = 219,979.19

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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.