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Finding the Fourth Proportional to 277,392.64, 416,062.32 and 77,730.88

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Solution

The fourth proportional to 277,392.64, 416,062.32 and 77,730.88 is: 116,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,392.64 : 416,062.32 = 77,730.88 : x
  2. Step 2: Convert to fraction form
    277,392.64/416,062.32 = 77,730.88/x
  3. Step 3: Cross multiply
    277,392.64x = 416,062.32 × 77,730.88
  4. Step 4: Simplify right side
    277,392.64x = 32,340,890,268.44
  5. Step 5: Solve for x
    x = 32,340,890,268.44/277,392.64
  6. Step 6: Final answer
    x = 116,588.85

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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.