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Finding the Fourth Proportional to 547,708.80, 821,649.60 and 173,769.60

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Solution

The fourth proportional to 547,708.80, 821,649.60 and 173,769.60 is: 260,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,708.80 : 821,649.60 = 173,769.60 : x
  2. Step 2: Convert to fraction form
    547,708.80/821,649.60 = 173,769.60/x
  3. Step 3: Cross multiply
    547,708.80x = 821,649.60 × 173,769.60
  4. Step 4: Simplify right side
    547,708.80x = 142,777,722,332.16
  5. Step 5: Solve for x
    x = 142,777,722,332.16/547,708.80
  6. Step 6: Final answer
    x = 260,681.81

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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.