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Finding the Fourth Proportional to 321,143.16, 443,323.98 and 229,331.64

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Solution

The fourth proportional to 321,143.16, 443,323.98 and 229,331.64 is: 316,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,143.16 : 443,323.98 = 229,331.64 : x
  2. Step 2: Convert to fraction form
    321,143.16/443,323.98 = 229,331.64/x
  3. Step 3: Cross multiply
    321,143.16x = 443,323.98 × 229,331.64
  4. Step 4: Simplify right side
    321,143.16x = 101,668,215,384.73
  5. Step 5: Solve for x
    x = 101,668,215,384.73/321,143.16
  6. Step 6: Final answer
    x = 316,582.22

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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.