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Finding the Fourth Proportional to 377,102.25, 520,410.96 and 205,031.79

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Solution

The fourth proportional to 377,102.25, 520,410.96 and 205,031.79 is: 282,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,102.25 : 520,410.96 = 205,031.79 : x
  2. Step 2: Convert to fraction form
    377,102.25/520,410.96 = 205,031.79/x
  3. Step 3: Cross multiply
    377,102.25x = 520,410.96 × 205,031.79
  4. Step 4: Simplify right side
    377,102.25x = 106,700,790,664.42
  5. Step 5: Solve for x
    x = 106,700,790,664.42/377,102.25
  6. Step 6: Final answer
    x = 282,949.23

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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.