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Finding the Fourth Proportional to 399,109.80, 598,834.80 and 209,715.60

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Solution

The fourth proportional to 399,109.80, 598,834.80 and 209,715.60 is: 314,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,109.80 : 598,834.80 = 209,715.60 : x
  2. Step 2: Convert to fraction form
    399,109.80/598,834.80 = 209,715.60/x
  3. Step 3: Cross multiply
    399,109.80x = 598,834.80 × 209,715.60
  4. Step 4: Simplify right side
    399,109.80x = 125,584,999,382.88
  5. Step 5: Solve for x
    x = 125,584,999,382.88/399,109.80
  6. Step 6: Final answer
    x = 314,662.78

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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.