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Finding the Fourth Proportional to 338,789.57, 507,296.57 and 238,406.27

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Solution

The fourth proportional to 338,789.57, 507,296.57 and 238,406.27 is: 356,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,789.57 : 507,296.57 = 238,406.27 : x
  2. Step 2: Convert to fraction form
    338,789.57/507,296.57 = 238,406.27/x
  3. Step 3: Cross multiply
    338,789.57x = 507,296.57 × 238,406.27
  4. Step 4: Simplify right side
    338,789.57x = 120,942,679,308.98
  5. Step 5: Solve for x
    x = 120,942,679,308.98/338,789.57
  6. Step 6: Final answer
    x = 356,984.66

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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.