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Finding the Fourth Proportional to 321,140.91, 443,320.88 and 229,329.39

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Solution

The fourth proportional to 321,140.91, 443,320.88 and 229,329.39 is: 316,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,140.91 : 443,320.88 = 229,329.39 : x
  2. Step 2: Convert to fraction form
    321,140.91/443,320.88 = 229,329.39/x
  3. Step 3: Cross multiply
    321,140.91x = 443,320.88 × 229,329.39
  4. Step 4: Simplify right side
    321,140.91x = 101,666,505,838.02
  5. Step 5: Solve for x
    x = 101,666,505,838.02/321,140.91
  6. Step 6: Final answer
    x = 316,579.12

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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.