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Finding the Fourth Proportional to 338,324.38, 507,289.76 and 127,978.72

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Solution

The fourth proportional to 338,324.38, 507,289.76 and 127,978.72 is: 191,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,324.38 : 507,289.76 = 127,978.72 : x
  2. Step 2: Convert to fraction form
    338,324.38/507,289.76 = 127,978.72/x
  3. Step 3: Cross multiply
    338,324.38x = 507,289.76 × 127,978.72
  4. Step 4: Simplify right side
    338,324.38x = 64,922,294,153.91
  5. Step 5: Solve for x
    x = 64,922,294,153.91/338,324.38
  6. Step 6: Final answer
    x = 191,893.63

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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.