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Finding the Fourth Proportional to 471,560.21, 650,652.18 and 280,536.29

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Solution

The fourth proportional to 471,560.21, 650,652.18 and 280,536.29 is: 387,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,560.21 : 650,652.18 = 280,536.29 : x
  2. Step 2: Convert to fraction form
    471,560.21/650,652.18 = 280,536.29/x
  3. Step 3: Cross multiply
    471,560.21x = 650,652.18 × 280,536.29
  4. Step 4: Simplify right side
    471,560.21x = 182,531,548,657.61
  5. Step 5: Solve for x
    x = 182,531,548,657.61/471,560.21
  6. Step 6: Final answer
    x = 387,080.05

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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.