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Finding the Fourth Proportional to 471,264.56, 650,097.24 and 280,142

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Solution

The fourth proportional to 471,264.56, 650,097.24 and 280,142 is: 386,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,264.56 : 650,097.24 = 280,142 : x
  2. Step 2: Convert to fraction form
    471,264.56/650,097.24 = 280,142/x
  3. Step 3: Cross multiply
    471,264.56x = 650,097.24 × 280,142
  4. Step 4: Simplify right side
    471,264.56x = 182,119,541,008.08
  5. Step 5: Solve for x
    x = 182,119,541,008.08/471,264.56
  6. Step 6: Final answer
    x = 386,448.62

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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.