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Finding the Fourth Proportional to 336,806.20, 464,843.64 and 209,522.80

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Solution

The fourth proportional to 336,806.20, 464,843.64 and 209,522.80 is: 289,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,806.20 : 464,843.64 = 209,522.80 : x
  2. Step 2: Convert to fraction form
    336,806.20/464,843.64 = 209,522.80/x
  3. Step 3: Cross multiply
    336,806.20x = 464,843.64 × 209,522.80
  4. Step 4: Simplify right side
    336,806.20x = 97,395,341,014.99
  5. Step 5: Solve for x
    x = 97,395,341,014.99/336,806.20
  6. Step 6: Final answer
    x = 289,173.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.