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Finding the Fourth Proportional to 277,493, 416,305.11 and 90,504.50

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Solution

The fourth proportional to 277,493, 416,305.11 and 90,504.50 is: 135,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,493 : 416,305.11 = 90,504.50 : x
  2. Step 2: Convert to fraction form
    277,493/416,305.11 = 90,504.50/x
  3. Step 3: Cross multiply
    277,493x = 416,305.11 × 90,504.50
  4. Step 4: Simplify right side
    277,493x = 37,677,485,828.00
  5. Step 5: Solve for x
    x = 37,677,485,828.00/277,493
  6. Step 6: Final answer
    x = 135,778.15

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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.