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Finding the Fourth Proportional to 321,440.66, 443,602.05 and 213,838.10

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Solution

The fourth proportional to 321,440.66, 443,602.05 and 213,838.10 is: 295,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,440.66 : 443,602.05 = 213,838.10 : x
  2. Step 2: Convert to fraction form
    321,440.66/443,602.05 = 213,838.10/x
  3. Step 3: Cross multiply
    321,440.66x = 443,602.05 × 213,838.10
  4. Step 4: Simplify right side
    321,440.66x = 94,859,019,528.11
  5. Step 5: Solve for x
    x = 94,859,019,528.11/321,440.66
  6. Step 6: Final answer
    x = 295,105.85

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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.