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Finding the Fourth Proportional to 366,660, 506,010.24 and 215,727.84

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Solution

The fourth proportional to 366,660, 506,010.24 and 215,727.84 is: 297,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,660 : 506,010.24 = 215,727.84 : x
  2. Step 2: Convert to fraction form
    366,660/506,010.24 = 215,727.84/x
  3. Step 3: Cross multiply
    366,660x = 506,010.24 × 215,727.84
  4. Step 4: Simplify right side
    366,660x = 109,160,496,093.08
  5. Step 5: Solve for x
    x = 109,160,496,093.08/366,660
  6. Step 6: Final answer
    x = 297,715.86

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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.