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Finding the Fourth Proportional to 312,564.30, 431,338.38 and 169,324.98

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Solution

The fourth proportional to 312,564.30, 431,338.38 and 169,324.98 is: 233,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,564.30 : 431,338.38 = 169,324.98 : x
  2. Step 2: Convert to fraction form
    312,564.30/431,338.38 = 169,324.98/x
  3. Step 3: Cross multiply
    312,564.30x = 431,338.38 × 169,324.98
  4. Step 4: Simplify right side
    312,564.30x = 73,036,362,566.73
  5. Step 5: Solve for x
    x = 73,036,362,566.73/312,564.30
  6. Step 6: Final answer
    x = 233,668.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.