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Finding the Fourth Proportional to 409,837.93, 565,579.34 and 228,561.55

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Solution

The fourth proportional to 409,837.93, 565,579.34 and 228,561.55 is: 315,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,837.93 : 565,579.34 = 228,561.55 : x
  2. Step 2: Convert to fraction form
    409,837.93/565,579.34 = 228,561.55/x
  3. Step 3: Cross multiply
    409,837.93x = 565,579.34 × 228,561.55
  4. Step 4: Simplify right side
    409,837.93x = 129,269,690,598.38
  5. Step 5: Solve for x
    x = 129,269,690,598.38/409,837.93
  6. Step 6: Final answer
    x = 315,416.61

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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.