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Finding the Fourth Proportional to 277,738.76, 416,608.14 and 78,079.32

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Solution

The fourth proportional to 277,738.76, 416,608.14 and 78,079.32 is: 117,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738.76 : 416,608.14 = 78,079.32 : x
  2. Step 2: Convert to fraction form
    277,738.76/416,608.14 = 78,079.32/x
  3. Step 3: Cross multiply
    277,738.76x = 416,608.14 × 78,079.32
  4. Step 4: Simplify right side
    277,738.76x = 32,528,480,277.66
  5. Step 5: Solve for x
    x = 32,528,480,277.66/277,738.76
  6. Step 6: Final answer
    x = 117,118.98

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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.