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Finding the Fourth Proportional to 321,906.38, 482,742.92 and 144,321.98

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Solution

The fourth proportional to 321,906.38, 482,742.92 and 144,321.98 is: 216,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906.38 : 482,742.92 = 144,321.98 : x
  2. Step 2: Convert to fraction form
    321,906.38/482,742.92 = 144,321.98/x
  3. Step 3: Cross multiply
    321,906.38x = 482,742.92 × 144,321.98
  4. Step 4: Simplify right side
    321,906.38x = 69,670,411,992.47
  5. Step 5: Solve for x
    x = 69,670,411,992.47/321,906.38
  6. Step 6: Final answer
    x = 216,430.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.