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Finding the Fourth Proportional to 280,783.80, 421,175.70 and 277,831.35

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Solution

The fourth proportional to 280,783.80, 421,175.70 and 277,831.35 is: 416,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,783.80 : 421,175.70 = 277,831.35 : x
  2. Step 2: Convert to fraction form
    280,783.80/421,175.70 = 277,831.35/x
  3. Step 3: Cross multiply
    280,783.80x = 421,175.70 × 277,831.35
  4. Step 4: Simplify right side
    280,783.80x = 117,015,813,318.20
  5. Step 5: Solve for x
    x = 117,015,813,318.20/280,783.80
  6. Step 6: Final answer
    x = 416,747.03

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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.