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Finding the Fourth Proportional to 409,865.94, 565,518.42 and 248,717.16

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Solution

The fourth proportional to 409,865.94, 565,518.42 and 248,717.16 is: 343,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,865.94 : 565,518.42 = 248,717.16 : x
  2. Step 2: Convert to fraction form
    409,865.94/565,518.42 = 248,717.16/x
  3. Step 3: Cross multiply
    409,865.94x = 565,518.42 × 248,717.16
  4. Step 4: Simplify right side
    409,865.94x = 140,654,135,350.09
  5. Step 5: Solve for x
    x = 140,654,135,350.09/409,865.94
  6. Step 6: Final answer
    x = 343,171.08

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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.