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Finding the Fourth Proportional to 290,276.64, 434,481.84 and 217,908

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Solution

The fourth proportional to 290,276.64, 434,481.84 and 217,908 is: 326,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,276.64 : 434,481.84 = 217,908 : x
  2. Step 2: Convert to fraction form
    290,276.64/434,481.84 = 217,908/x
  3. Step 3: Cross multiply
    290,276.64x = 434,481.84 × 217,908
  4. Step 4: Simplify right side
    290,276.64x = 94,677,068,790.72
  5. Step 5: Solve for x
    x = 94,677,068,790.72/290,276.64
  6. Step 6: Final answer
    x = 326,161.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.