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Finding the Fourth Proportional to 228,715.56, 314,974.98 and 205,859.88

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Solution

The fourth proportional to 228,715.56, 314,974.98 and 205,859.88 is: 283,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,715.56 : 314,974.98 = 205,859.88 : x
  2. Step 2: Convert to fraction form
    228,715.56/314,974.98 = 205,859.88/x
  3. Step 3: Cross multiply
    228,715.56x = 314,974.98 × 205,859.88
  4. Step 4: Simplify right side
    228,715.56x = 64,840,711,585.80
  5. Step 5: Solve for x
    x = 64,840,711,585.80/228,715.56
  6. Step 6: Final answer
    x = 283,499.35

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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.