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Finding the Fourth Proportional to 547,656.12, 755,711.10 and 305,933.49

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Solution

The fourth proportional to 547,656.12, 755,711.10 and 305,933.49 is: 422,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,656.12 : 755,711.10 = 305,933.49 : x
  2. Step 2: Convert to fraction form
    547,656.12/755,711.10 = 305,933.49/x
  3. Step 3: Cross multiply
    547,656.12x = 755,711.10 × 305,933.49
  4. Step 4: Simplify right side
    547,656.12x = 231,197,334,254.74
  5. Step 5: Solve for x
    x = 231,197,334,254.74/547,656.12
  6. Step 6: Final answer
    x = 422,157.86

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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.