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Finding the Fourth Proportional to 308,978.26, 463,642.72 and 166,821.64

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Solution

The fourth proportional to 308,978.26, 463,642.72 and 166,821.64 is: 250,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,978.26 : 463,642.72 = 166,821.64 : x
  2. Step 2: Convert to fraction form
    308,978.26/463,642.72 = 166,821.64/x
  3. Step 3: Cross multiply
    308,978.26x = 463,642.72 × 166,821.64
  4. Step 4: Simplify right side
    308,978.26x = 77,345,638,924.46
  5. Step 5: Solve for x
    x = 77,345,638,924.46/308,978.26
  6. Step 6: Final answer
    x = 250,327.12

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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.