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Finding the Fourth Proportional to 471,276, 650,355.84 and 280,285.20

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Solution

The fourth proportional to 471,276, 650,355.84 and 280,285.20 is: 386,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,276 : 650,355.84 = 280,285.20 : x
  2. Step 2: Convert to fraction form
    471,276/650,355.84 = 280,285.20/x
  3. Step 3: Cross multiply
    471,276x = 650,355.84 × 280,285.20
  4. Step 4: Simplify right side
    471,276x = 182,285,116,685.57
  5. Step 5: Solve for x
    x = 182,285,116,685.57/471,276
  6. Step 6: Final answer
    x = 386,790.58

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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.