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Finding the Fourth Proportional to 547,102.26, 755,127.09 and 320,820.66

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Solution

The fourth proportional to 547,102.26, 755,127.09 and 320,820.66 is: 442,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,102.26 : 755,127.09 = 320,820.66 : x
  2. Step 2: Convert to fraction form
    547,102.26/755,127.09 = 320,820.66/x
  3. Step 3: Cross multiply
    547,102.26x = 755,127.09 × 320,820.66
  4. Step 4: Simplify right side
    547,102.26x = 242,260,371,397.68
  5. Step 5: Solve for x
    x = 242,260,371,397.68/547,102.26
  6. Step 6: Final answer
    x = 442,806.38

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1.5x scale

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.