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Finding the Fourth Proportional to 338,872.37, 507,978.07 and 161,331.71

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Solution

The fourth proportional to 338,872.37, 507,978.07 and 161,331.71 is: 241,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,872.37 : 507,978.07 = 161,331.71 : x
  2. Step 2: Convert to fraction form
    338,872.37/507,978.07 = 161,331.71/x
  3. Step 3: Cross multiply
    338,872.37x = 507,978.07 × 161,331.71
  4. Step 4: Simplify right side
    338,872.37x = 81,952,969,868.94
  5. Step 5: Solve for x
    x = 81,952,969,868.94/338,872.37
  6. Step 6: Final answer
    x = 241,840.22

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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.