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Finding the Fourth Proportional to 277,137.72, 415,746 and 99,611.64

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Solution

The fourth proportional to 277,137.72, 415,746 and 99,611.64 is: 149,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137.72 : 415,746 = 99,611.64 : x
  2. Step 2: Convert to fraction form
    277,137.72/415,746 = 99,611.64/x
  3. Step 3: Cross multiply
    277,137.72x = 415,746 × 99,611.64
  4. Step 4: Simplify right side
    277,137.72x = 41,413,140,883.44
  5. Step 5: Solve for x
    x = 41,413,140,883.44/277,137.72
  6. Step 6: Final answer
    x = 149,431.63

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1.5x scale

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.