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Finding the Fourth Proportional to 277,921.91, 416,907.47 and 78,244.03

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Solution

The fourth proportional to 277,921.91, 416,907.47 and 78,244.03 is: 117,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,921.91 : 416,907.47 = 78,244.03 : x
  2. Step 2: Convert to fraction form
    277,921.91/416,907.47 = 78,244.03/x
  3. Step 3: Cross multiply
    277,921.91x = 416,907.47 × 78,244.03
  4. Step 4: Simplify right side
    277,921.91x = 32,620,518,631.45
  5. Step 5: Solve for x
    x = 32,620,518,631.45/277,921.91
  6. Step 6: Final answer
    x = 117,372.97

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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.