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Finding the Fourth Proportional to 427,324.92, 640,462.48 and 239,942.76

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Solution

The fourth proportional to 427,324.92, 640,462.48 and 239,942.76 is: 359,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,324.92 : 640,462.48 = 239,942.76 : x
  2. Step 2: Convert to fraction form
    427,324.92/640,462.48 = 239,942.76/x
  3. Step 3: Cross multiply
    427,324.92x = 640,462.48 × 239,942.76
  4. Step 4: Simplify right side
    427,324.92x = 153,674,335,127.65
  5. Step 5: Solve for x
    x = 153,674,335,127.65/427,324.92
  6. Step 6: Final answer
    x = 359,619.41

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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.