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Finding the Fourth Proportional to 277,307.86, 415,961.78 and 90,319.36

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Solution

The fourth proportional to 277,307.86, 415,961.78 and 90,319.36 is: 135,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,307.86 : 415,961.78 = 90,319.36 : x
  2. Step 2: Convert to fraction form
    277,307.86/415,961.78 = 90,319.36/x
  3. Step 3: Cross multiply
    277,307.86x = 415,961.78 × 90,319.36
  4. Step 4: Simplify right side
    277,307.86x = 37,569,401,754.06
  5. Step 5: Solve for x
    x = 37,569,401,754.06/277,307.86
  6. Step 6: Final answer
    x = 135,479.04

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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.