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Finding the Fourth Proportional to 274,987.08, 411,664.14 and 149,949

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Solution

The fourth proportional to 274,987.08, 411,664.14 and 149,949 is: 224,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,987.08 : 411,664.14 = 149,949 : x
  2. Step 2: Convert to fraction form
    274,987.08/411,664.14 = 149,949/x
  3. Step 3: Cross multiply
    274,987.08x = 411,664.14 × 149,949
  4. Step 4: Simplify right side
    274,987.08x = 61,728,626,128.86
  5. Step 5: Solve for x
    x = 61,728,626,128.86/274,987.08
  6. Step 6: Final answer
    x = 224,478.28

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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.