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Finding the Fourth Proportional to 409,674.39, 565,344.17 and 228,397.41

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Solution

The fourth proportional to 409,674.39, 565,344.17 and 228,397.41 is: 315,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,674.39 : 565,344.17 = 228,397.41 : x
  2. Step 2: Convert to fraction form
    409,674.39/565,344.17 = 228,397.41/x
  3. Step 3: Cross multiply
    409,674.39x = 565,344.17 × 228,397.41
  4. Step 4: Simplify right side
    409,674.39x = 129,123,143,044.61
  5. Step 5: Solve for x
    x = 129,123,143,044.61/409,674.39
  6. Step 6: Final answer
    x = 315,184.81

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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.