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Finding the Fourth Proportional to 409,550.77, 565,208.45 and 248,412.61

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Solution

The fourth proportional to 409,550.77, 565,208.45 and 248,412.61 is: 342,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,550.77 : 565,208.45 = 248,412.61 : x
  2. Step 2: Convert to fraction form
    409,550.77/565,208.45 = 248,412.61/x
  3. Step 3: Cross multiply
    409,550.77x = 565,208.45 × 248,412.61
  4. Step 4: Simplify right side
    409,550.77x = 140,404,906,258.55
  5. Step 5: Solve for x
    x = 140,404,906,258.55/409,550.77
  6. Step 6: Final answer
    x = 342,826.62

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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.