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Finding the Fourth Proportional to 547,085.52, 755,104 and 320,803.92

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Solution

The fourth proportional to 547,085.52, 755,104 and 320,803.92 is: 442,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,085.52 : 755,104 = 320,803.92 : x
  2. Step 2: Convert to fraction form
    547,085.52/755,104 = 320,803.92/x
  3. Step 3: Cross multiply
    547,085.52x = 755,104 × 320,803.92
  4. Step 4: Simplify right side
    547,085.52x = 242,240,323,207.68
  5. Step 5: Solve for x
    x = 242,240,323,207.68/547,085.52
  6. Step 6: Final answer
    x = 442,783.28

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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.