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Finding the Fourth Proportional to 338,521.22, 507,978.66 and 267,006.32

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Solution

The fourth proportional to 338,521.22, 507,978.66 and 267,006.32 is: 400,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,521.22 : 507,978.66 = 267,006.32 : x
  2. Step 2: Convert to fraction form
    338,521.22/507,978.66 = 267,006.32/x
  3. Step 3: Cross multiply
    338,521.22x = 507,978.66 × 267,006.32
  4. Step 4: Simplify right side
    338,521.22x = 135,633,514,582.59
  5. Step 5: Solve for x
    x = 135,633,514,582.59/338,521.22
  6. Step 6: Final answer
    x = 400,664.73

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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.