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Finding the Fourth Proportional to 471,630.71, 650,749.47 and 280,606.79

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Solution

The fourth proportional to 471,630.71, 650,749.47 and 280,606.79 is: 387,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,630.71 : 650,749.47 = 280,606.79 : x
  2. Step 2: Convert to fraction form
    471,630.71/650,749.47 = 280,606.79/x
  3. Step 3: Cross multiply
    471,630.71x = 650,749.47 × 280,606.79
  4. Step 4: Simplify right side
    471,630.71x = 182,604,719,870.90
  5. Step 5: Solve for x
    x = 182,604,719,870.90/471,630.71
  6. Step 6: Final answer
    x = 387,177.33

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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.