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Finding the Fourth Proportional to 272,488.86, 409,027.32 and 206,648.28

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Solution

The fourth proportional to 272,488.86, 409,027.32 and 206,648.28 is: 310,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,488.86 : 409,027.32 = 206,648.28 : x
  2. Step 2: Convert to fraction form
    272,488.86/409,027.32 = 206,648.28/x
  3. Step 3: Cross multiply
    272,488.86x = 409,027.32 × 206,648.28
  4. Step 4: Simplify right side
    272,488.86x = 84,524,792,151.01
  5. Step 5: Solve for x
    x = 84,524,792,151.01/272,488.86
  6. Step 6: Final answer
    x = 310,195.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.