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Finding the Fourth Proportional to 277,435.75, 416,178.21 and 77,758.54

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Solution

The fourth proportional to 277,435.75, 416,178.21 and 77,758.54 is: 116,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,435.75 : 416,178.21 = 77,758.54 : x
  2. Step 2: Convert to fraction form
    277,435.75/416,178.21 = 77,758.54/x
  3. Step 3: Cross multiply
    277,435.75x = 416,178.21 × 77,758.54
  4. Step 4: Simplify right side
    277,435.75x = 32,361,409,989.41
  5. Step 5: Solve for x
    x = 32,361,409,989.41/277,435.75
  6. Step 6: Final answer
    x = 116,644.70

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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.