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Finding the Fourth Proportional to 399,196.60, 598,794.90 and 209,583.70

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Solution

The fourth proportional to 399,196.60, 598,794.90 and 209,583.70 is: 314,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,196.60 : 598,794.90 = 209,583.70 : x
  2. Step 2: Convert to fraction form
    399,196.60/598,794.90 = 209,583.70/x
  3. Step 3: Cross multiply
    399,196.60x = 598,794.90 × 209,583.70
  4. Step 4: Simplify right side
    399,196.60x = 125,497,650,683.13
  5. Step 5: Solve for x
    x = 125,497,650,683.13/399,196.60
  6. Step 6: Final answer
    x = 314,375.55

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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.