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Finding the Fourth Proportional to 399,273.60, 598,910.40 and 209,660.70

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Solution

The fourth proportional to 399,273.60, 598,910.40 and 209,660.70 is: 314,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,273.60 : 598,910.40 = 209,660.70 : x
  2. Step 2: Convert to fraction form
    399,273.60/598,910.40 = 209,660.70/x
  3. Step 3: Cross multiply
    399,273.60x = 598,910.40 × 209,660.70
  4. Step 4: Simplify right side
    399,273.60x = 125,567,973,701.28
  5. Step 5: Solve for x
    x = 125,567,973,701.28/399,273.60
  6. Step 6: Final answer
    x = 314,491.05

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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.