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Finding the Fourth Proportional to 277,288.96, 415,968 and 90,250.24

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Solution

The fourth proportional to 277,288.96, 415,968 and 90,250.24 is: 135,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,288.96 : 415,968 = 90,250.24 : x
  2. Step 2: Convert to fraction form
    277,288.96/415,968 = 90,250.24/x
  3. Step 3: Cross multiply
    277,288.96x = 415,968 × 90,250.24
  4. Step 4: Simplify right side
    277,288.96x = 37,541,211,832.32
  5. Step 5: Solve for x
    x = 37,541,211,832.32/277,288.96
  6. Step 6: Final answer
    x = 135,386.61

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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.