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Finding the Fourth Proportional to 328,267.57, 492,401.20 and 78,949.49

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Solution

The fourth proportional to 328,267.57, 492,401.20 and 78,949.49 is: 118,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,267.57 : 492,401.20 = 78,949.49 : x
  2. Step 2: Convert to fraction form
    328,267.57/492,401.20 = 78,949.49/x
  3. Step 3: Cross multiply
    328,267.57x = 492,401.20 × 78,949.49
  4. Step 4: Simplify right side
    328,267.57x = 38,874,823,220.64
  5. Step 5: Solve for x
    x = 38,874,823,220.64/328,267.57
  6. Step 6: Final answer
    x = 118,424.20

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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.