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Finding the Fourth Proportional to 513,717.22, 708,911.42 and 284,270.54

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Solution

The fourth proportional to 513,717.22, 708,911.42 and 284,270.54 is: 392,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,717.22 : 708,911.42 = 284,270.54 : x
  2. Step 2: Convert to fraction form
    513,717.22/708,911.42 = 284,270.54/x
  3. Step 3: Cross multiply
    513,717.22x = 708,911.42 × 284,270.54
  4. Step 4: Simplify right side
    513,717.22x = 201,522,632,175.57
  5. Step 5: Solve for x
    x = 201,522,632,175.57/513,717.22
  6. Step 6: Final answer
    x = 392,283.19

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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.