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Finding the Fourth Proportional to 386,964.68, 533,981.96 and 217,166

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Solution

The fourth proportional to 386,964.68, 533,981.96 and 217,166 is: 299,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,964.68 : 533,981.96 = 217,166 : x
  2. Step 2: Convert to fraction form
    386,964.68/533,981.96 = 217,166/x
  3. Step 3: Cross multiply
    386,964.68x = 533,981.96 × 217,166
  4. Step 4: Simplify right side
    386,964.68x = 115,962,726,325.36
  5. Step 5: Solve for x
    x = 115,962,726,325.36/386,964.68
  6. Step 6: Final answer
    x = 299,672.64

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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.