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Finding the Fourth Proportional to 471,673.80, 650,808.72 and 280,649.88

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Solution

The fourth proportional to 471,673.80, 650,808.72 and 280,649.88 is: 387,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,673.80 : 650,808.72 = 280,649.88 : x
  2. Step 2: Convert to fraction form
    471,673.80/650,808.72 = 280,649.88/x
  3. Step 3: Cross multiply
    471,673.80x = 650,808.72 × 280,649.88
  4. Step 4: Simplify right side
    471,673.80x = 182,649,389,170.95
  5. Step 5: Solve for x
    x = 182,649,389,170.95/471,673.80
  6. Step 6: Final answer
    x = 387,236.66

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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.