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Finding the Fourth Proportional to 471,260, 650,333.76 and 280,269.20

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Solution

The fourth proportional to 471,260, 650,333.76 and 280,269.20 is: 386,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,260 : 650,333.76 = 280,269.20 : x
  2. Step 2: Convert to fraction form
    471,260/650,333.76 = 280,269.20/x
  3. Step 3: Cross multiply
    471,260x = 650,333.76 × 280,269.20
  4. Step 4: Simplify right side
    471,260x = 182,268,522,648.19
  5. Step 5: Solve for x
    x = 182,268,522,648.19/471,260
  6. Step 6: Final answer
    x = 386,768.50

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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.