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Finding the Fourth Proportional to 277,473.78, 416,210.87 and 67,111.92

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Solution

The fourth proportional to 277,473.78, 416,210.87 and 67,111.92 is: 100,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,473.78 : 416,210.87 = 67,111.92 : x
  2. Step 2: Convert to fraction form
    277,473.78/416,210.87 = 67,111.92/x
  3. Step 3: Cross multiply
    277,473.78x = 416,210.87 × 67,111.92
  4. Step 4: Simplify right side
    277,473.78x = 27,932,710,778.35
  5. Step 5: Solve for x
    x = 27,932,710,778.35/277,473.78
  6. Step 6: Final answer
    x = 100,667.93

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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.