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Finding the Fourth Proportional to 338,007.80, 507,010.32 and 85,288.88

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Solution

The fourth proportional to 338,007.80, 507,010.32 and 85,288.88 is: 127,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,007.80 : 507,010.32 = 85,288.88 : x
  2. Step 2: Convert to fraction form
    338,007.80/507,010.32 = 85,288.88/x
  3. Step 3: Cross multiply
    338,007.80x = 507,010.32 × 85,288.88
  4. Step 4: Simplify right side
    338,007.80x = 43,242,342,341.24
  5. Step 5: Solve for x
    x = 43,242,342,341.24/338,007.80
  6. Step 6: Final answer
    x = 127,932.97

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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.