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Finding the Fourth Proportional to 331,490, 496,902.08 and 106,685.23

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Solution

The fourth proportional to 331,490, 496,902.08 and 106,685.23 is: 159,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,490 : 496,902.08 = 106,685.23 : x
  2. Step 2: Convert to fraction form
    331,490/496,902.08 = 106,685.23/x
  3. Step 3: Cross multiply
    331,490x = 496,902.08 × 106,685.23
  4. Step 4: Simplify right side
    331,490x = 53,012,112,692.28
  5. Step 5: Solve for x
    x = 53,012,112,692.28/331,490
  6. Step 6: Final answer
    x = 159,920.70

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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.