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Finding the Fourth Proportional to 471,682.98, 650,821.23 and 280,659.06

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Solution

The fourth proportional to 471,682.98, 650,821.23 and 280,659.06 is: 387,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,682.98 : 650,821.23 = 280,659.06 : x
  2. Step 2: Convert to fraction form
    471,682.98/650,821.23 = 280,659.06/x
  3. Step 3: Cross multiply
    471,682.98x = 650,821.23 × 280,659.06
  4. Step 4: Simplify right side
    471,682.98x = 182,658,874,639.84
  5. Step 5: Solve for x
    x = 182,658,874,639.84/471,682.98
  6. Step 6: Final answer
    x = 387,249.24

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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.