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Finding the Fourth Proportional to 656,780.22, 983,694.06 and 399,917.07

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Solution

The fourth proportional to 656,780.22, 983,694.06 and 399,917.07 is: 598,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,780.22 : 983,694.06 = 399,917.07 : x
  2. Step 2: Convert to fraction form
    656,780.22/983,694.06 = 399,917.07/x
  3. Step 3: Cross multiply
    656,780.22x = 983,694.06 × 399,917.07
  4. Step 4: Simplify right side
    656,780.22x = 393,396,046,251.60
  5. Step 5: Solve for x
    x = 393,396,046,251.60/656,780.22
  6. Step 6: Final answer
    x = 598,976.70

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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.