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Finding the Fourth Proportional to 471,658.72, 650,874 and 280,628.32

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Solution

The fourth proportional to 471,658.72, 650,874 and 280,628.32 is: 387,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,658.72 : 650,874 = 280,628.32 : x
  2. Step 2: Convert to fraction form
    471,658.72/650,874 = 280,628.32/x
  3. Step 3: Cross multiply
    471,658.72x = 650,874 × 280,628.32
  4. Step 4: Simplify right side
    471,658.72x = 182,653,677,151.68
  5. Step 5: Solve for x
    x = 182,653,677,151.68/471,658.72
  6. Step 6: Final answer
    x = 387,258.14

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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.