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Finding the Fourth Proportional to 277,920.82, 416,844.30 and 78,256.76

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Solution

The fourth proportional to 277,920.82, 416,844.30 and 78,256.76 is: 117,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,920.82 : 416,844.30 = 78,256.76 : x
  2. Step 2: Convert to fraction form
    277,920.82/416,844.30 = 78,256.76/x
  3. Step 3: Cross multiply
    277,920.82x = 416,844.30 × 78,256.76
  4. Step 4: Simplify right side
    277,920.82x = 32,620,884,342.47
  5. Step 5: Solve for x
    x = 32,620,884,342.47/277,920.82
  6. Step 6: Final answer
    x = 117,374.74

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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.