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Finding the Fourth Proportional to 435,410.56, 653,357.76 and 235,728

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Solution

The fourth proportional to 435,410.56, 653,357.76 and 235,728 is: 353,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,410.56 : 653,357.76 = 235,728 : x
  2. Step 2: Convert to fraction form
    435,410.56/653,357.76 = 235,728/x
  3. Step 3: Cross multiply
    435,410.56x = 653,357.76 × 235,728
  4. Step 4: Simplify right side
    435,410.56x = 154,014,718,049.28
  5. Step 5: Solve for x
    x = 154,014,718,049.28/435,410.56
  6. Step 6: Final answer
    x = 353,722.97

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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.