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Finding the Fourth Proportional to 277,937, 416,928.54 and 80,945

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Solution

The fourth proportional to 277,937, 416,928.54 and 80,945 is: 121,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,937 : 416,928.54 = 80,945 : x
  2. Step 2: Convert to fraction form
    277,937/416,928.54 = 80,945/x
  3. Step 3: Cross multiply
    277,937x = 416,928.54 × 80,945
  4. Step 4: Simplify right side
    277,937x = 33,748,280,670.30
  5. Step 5: Solve for x
    x = 33,748,280,670.30/277,937
  6. Step 6: Final answer
    x = 121,424.21

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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.