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Finding the Fourth Proportional to 561,660.98, 842,824.38 and 206,923.91

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Solution

The fourth proportional to 561,660.98, 842,824.38 and 206,923.91 is: 310,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,660.98 : 842,824.38 = 206,923.91 : x
  2. Step 2: Convert to fraction form
    561,660.98/842,824.38 = 206,923.91/x
  3. Step 3: Cross multiply
    561,660.98x = 842,824.38 × 206,923.91
  4. Step 4: Simplify right side
    561,660.98x = 174,400,516,152.93
  5. Step 5: Solve for x
    x = 174,400,516,152.93/561,660.98
  6. Step 6: Final answer
    x = 310,508.51

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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.