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Finding the Fourth Proportional to 336,643.68, 464,736.62 and 209,360.28

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Solution

The fourth proportional to 336,643.68, 464,736.62 and 209,360.28 is: 289,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,643.68 : 464,736.62 = 209,360.28 : x
  2. Step 2: Convert to fraction form
    336,643.68/464,736.62 = 209,360.28/x
  3. Step 3: Cross multiply
    336,643.68x = 464,736.62 × 209,360.28
  4. Step 4: Simplify right side
    336,643.68x = 97,297,388,889.45
  5. Step 5: Solve for x
    x = 97,297,388,889.45/336,643.68
  6. Step 6: Final answer
    x = 289,021.88

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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.