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Finding the Fourth Proportional to 377,515.24, 520,983.24 and 216,400.78

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Solution

The fourth proportional to 377,515.24, 520,983.24 and 216,400.78 is: 298,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,515.24 : 520,983.24 = 216,400.78 : x
  2. Step 2: Convert to fraction form
    377,515.24/520,983.24 = 216,400.78/x
  3. Step 3: Cross multiply
    377,515.24x = 520,983.24 × 216,400.78
  4. Step 4: Simplify right side
    377,515.24x = 112,741,179,502.93
  5. Step 5: Solve for x
    x = 112,741,179,502.93/377,515.24
  6. Step 6: Final answer
    x = 298,640.07

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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.