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Finding the Fourth Proportional to 354,265.48, 531,512.97 and 212,088.52

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Solution

The fourth proportional to 354,265.48, 531,512.97 and 212,088.52 is: 318,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,265.48 : 531,512.97 = 212,088.52 : x
  2. Step 2: Convert to fraction form
    354,265.48/531,512.97 = 212,088.52/x
  3. Step 3: Cross multiply
    354,265.48x = 531,512.97 × 212,088.52
  4. Step 4: Simplify right side
    354,265.48x = 112,727,797,309.10
  5. Step 5: Solve for x
    x = 112,727,797,309.10/354,265.48
  6. Step 6: Final answer
    x = 318,201.47

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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.