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Finding the Fourth Proportional to 435,738.40, 653,121.60 and 169,410.40

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Solution

The fourth proportional to 435,738.40, 653,121.60 and 169,410.40 is: 253,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,738.40 : 653,121.60 = 169,410.40 : x
  2. Step 2: Convert to fraction form
    435,738.40/653,121.60 = 169,410.40/x
  3. Step 3: Cross multiply
    435,738.40x = 653,121.60 × 169,410.40
  4. Step 4: Simplify right side
    435,738.40x = 110,645,591,504.64
  5. Step 5: Solve for x
    x = 110,645,591,504.64/435,738.40
  6. Step 6: Final answer
    x = 253,926.65

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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.