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Finding the Fourth Proportional to 277,409.61, 416,115.50 and 67,047.21

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Solution

The fourth proportional to 277,409.61, 416,115.50 and 67,047.21 is: 100,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,409.61 : 416,115.50 = 67,047.21 : x
  2. Step 2: Convert to fraction form
    277,409.61/416,115.50 = 67,047.21/x
  3. Step 3: Cross multiply
    277,409.61x = 416,115.50 × 67,047.21
  4. Step 4: Simplify right side
    277,409.61x = 27,899,382,977.52
  5. Step 5: Solve for x
    x = 27,899,382,977.52/277,409.61
  6. Step 6: Final answer
    x = 100,571.08

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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.