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Finding the Fourth Proportional to 392,906.56, 589,950.40 and 235,837.76

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Solution

The fourth proportional to 392,906.56, 589,950.40 and 235,837.76 is: 354,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,906.56 : 589,950.40 = 235,837.76 : x
  2. Step 2: Convert to fraction form
    392,906.56/589,950.40 = 235,837.76/x
  3. Step 3: Cross multiply
    392,906.56x = 589,950.40 × 235,837.76
  4. Step 4: Simplify right side
    392,906.56x = 139,132,580,847.10
  5. Step 5: Solve for x
    x = 139,132,580,847.10/392,906.56
  6. Step 6: Final answer
    x = 354,111.12

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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.