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Finding the Fourth Proportional to 471,900, 651,222 and 270,760.80

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Solution

The fourth proportional to 471,900, 651,222 and 270,760.80 is: 373,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,900 : 651,222 = 270,760.80 : x
  2. Step 2: Convert to fraction form
    471,900/651,222 = 270,760.80/x
  3. Step 3: Cross multiply
    471,900x = 651,222 × 270,760.80
  4. Step 4: Simplify right side
    471,900x = 176,325,389,697.60
  5. Step 5: Solve for x
    x = 176,325,389,697.60/471,900
  6. Step 6: Final answer
    x = 373,649.90

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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.