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Finding the Fourth Proportional to 409,381.69, 564,964.11 and 228,093.52

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Solution

The fourth proportional to 409,381.69, 564,964.11 and 228,093.52 is: 314,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,381.69 : 564,964.11 = 228,093.52 : x
  2. Step 2: Convert to fraction form
    409,381.69/564,964.11 = 228,093.52/x
  3. Step 3: Cross multiply
    409,381.69x = 564,964.11 × 228,093.52
  4. Step 4: Simplify right side
    409,381.69x = 128,864,652,523.57
  5. Step 5: Solve for x
    x = 128,864,652,523.57/409,381.69
  6. Step 6: Final answer
    x = 314,778.74

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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.