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Finding the Fourth Proportional to 277,800.32, 416,712 and 80,808.32

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Solution

The fourth proportional to 277,800.32, 416,712 and 80,808.32 is: 121,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,800.32 : 416,712 = 80,808.32 : x
  2. Step 2: Convert to fraction form
    277,800.32/416,712 = 80,808.32/x
  3. Step 3: Cross multiply
    277,800.32x = 416,712 × 80,808.32
  4. Step 4: Simplify right side
    277,800.32x = 33,673,796,643.84
  5. Step 5: Solve for x
    x = 33,673,796,643.84/277,800.32
  6. Step 6: Final answer
    x = 121,215.83

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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.