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Finding the Fourth Proportional to 321,638.40, 482,117.04 and 108,203.16

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Solution

The fourth proportional to 321,638.40, 482,117.04 and 108,203.16 is: 162,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,638.40 : 482,117.04 = 108,203.16 : x
  2. Step 2: Convert to fraction form
    321,638.40/482,117.04 = 108,203.16/x
  3. Step 3: Cross multiply
    321,638.40x = 482,117.04 × 108,203.16
  4. Step 4: Simplify right side
    321,638.40x = 52,166,587,217.85
  5. Step 5: Solve for x
    x = 52,166,587,217.85/321,638.40
  6. Step 6: Final answer
    x = 162,190.17

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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.