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Finding the Fourth Proportional to 277,004.82, 415,732.41 and 157,137.78

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Solution

The fourth proportional to 277,004.82, 415,732.41 and 157,137.78 is: 235,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,004.82 : 415,732.41 = 157,137.78 : x
  2. Step 2: Convert to fraction form
    277,004.82/415,732.41 = 157,137.78/x
  3. Step 3: Cross multiply
    277,004.82x = 415,732.41 × 157,137.78
  4. Step 4: Simplify right side
    277,004.82x = 65,327,267,981.45
  5. Step 5: Solve for x
    x = 65,327,267,981.45/277,004.82
  6. Step 6: Final answer
    x = 235,834.41

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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.