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Finding the Fourth Proportional to 547,492.20, 755,523.78 and 305,767.68

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Solution

The fourth proportional to 547,492.20, 755,523.78 and 305,767.68 is: 421,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,492.20 : 755,523.78 = 305,767.68 : x
  2. Step 2: Convert to fraction form
    547,492.20/755,523.78 = 305,767.68/x
  3. Step 3: Cross multiply
    547,492.20x = 755,523.78 × 305,767.68
  4. Step 4: Simplify right side
    547,492.20x = 231,014,753,395.43
  5. Step 5: Solve for x
    x = 231,014,753,395.43/547,492.20
  6. Step 6: Final answer
    x = 421,950.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.