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Finding the Fourth Proportional to 277,952.26, 416,891.52 and 78,288.34

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Solution

The fourth proportional to 277,952.26, 416,891.52 and 78,288.34 is: 117,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,952.26 : 416,891.52 = 78,288.34 : x
  2. Step 2: Convert to fraction form
    277,952.26/416,891.52 = 78,288.34/x
  3. Step 3: Cross multiply
    277,952.26x = 416,891.52 × 78,288.34
  4. Step 4: Simplify right side
    277,952.26x = 32,637,745,060.88
  5. Step 5: Solve for x
    x = 32,637,745,060.88/277,952.26
  6. Step 6: Final answer
    x = 117,422.13

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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.