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Finding the Fourth Proportional to 277,989.84, 416,981.12 and 67,628

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Solution

The fourth proportional to 277,989.84, 416,981.12 and 67,628 is: 101,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,989.84 : 416,981.12 = 67,628 : x
  2. Step 2: Convert to fraction form
    277,989.84/416,981.12 = 67,628/x
  3. Step 3: Cross multiply
    277,989.84x = 416,981.12 × 67,628
  4. Step 4: Simplify right side
    277,989.84x = 28,199,599,183.36
  5. Step 5: Solve for x
    x = 28,199,599,183.36/277,989.84
  6. Step 6: Final answer
    x = 101,441.11

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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.