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Finding the Fourth Proportional to 547,561.60, 821,649.60 and 231,964.80

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Solution

The fourth proportional to 547,561.60, 821,649.60 and 231,964.80 is: 348,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,561.60 : 821,649.60 = 231,964.80 : x
  2. Step 2: Convert to fraction form
    547,561.60/821,649.60 = 231,964.80/x
  3. Step 3: Cross multiply
    547,561.60x = 821,649.60 × 231,964.80
  4. Step 4: Simplify right side
    547,561.60x = 190,593,785,134.08
  5. Step 5: Solve for x
    x = 190,593,785,134.08/547,561.60
  6. Step 6: Final answer
    x = 348,077.34

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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.