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Finding the Fourth Proportional to 399,165.60, 598,748.40 and 209,552.70

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Solution

The fourth proportional to 399,165.60, 598,748.40 and 209,552.70 is: 314,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,165.60 : 598,748.40 = 209,552.70 : x
  2. Step 2: Convert to fraction form
    399,165.60/598,748.40 = 209,552.70/x
  3. Step 3: Cross multiply
    399,165.60x = 598,748.40 × 209,552.70
  4. Step 4: Simplify right side
    399,165.60x = 125,469,343,840.68
  5. Step 5: Solve for x
    x = 125,469,343,840.68/399,165.60
  6. Step 6: Final answer
    x = 314,329.05

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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.