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Finding the Fourth Proportional to 321,206.89, 443,283.47 and 183,426.50

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Solution

The fourth proportional to 321,206.89, 443,283.47 and 183,426.50 is: 253,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,206.89 : 443,283.47 = 183,426.50 : x
  2. Step 2: Convert to fraction form
    321,206.89/443,283.47 = 183,426.50/x
  3. Step 3: Cross multiply
    321,206.89x = 443,283.47 × 183,426.50
  4. Step 4: Simplify right side
    321,206.89x = 81,309,935,409.96
  5. Step 5: Solve for x
    x = 81,309,935,409.96/321,206.89
  6. Step 6: Final answer
    x = 253,138.83

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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.