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Finding the Fourth Proportional to 409,934.06, 565,709.99 and 228,657.73

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Solution

The fourth proportional to 409,934.06, 565,709.99 and 228,657.73 is: 315,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,934.06 : 565,709.99 = 228,657.73 : x
  2. Step 2: Convert to fraction form
    409,934.06/565,709.99 = 228,657.73/x
  3. Step 3: Cross multiply
    409,934.06x = 565,709.99 × 228,657.73
  4. Step 4: Simplify right side
    409,934.06x = 129,353,962,151.72
  5. Step 5: Solve for x
    x = 129,353,962,151.72/409,934.06
  6. Step 6: Final answer
    x = 315,548.22

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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.