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Finding the Fourth Proportional to 547,414.24, 755,432.68 and 305,696.04

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Solution

The fourth proportional to 547,414.24, 755,432.68 and 305,696.04 is: 421,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,414.24 : 755,432.68 = 305,696.04 : x
  2. Step 2: Convert to fraction form
    547,414.24/755,432.68 = 305,696.04/x
  3. Step 3: Cross multiply
    547,414.24x = 755,432.68 × 305,696.04
  4. Step 4: Simplify right side
    547,414.24x = 230,932,778,762.59
  5. Step 5: Solve for x
    x = 230,932,778,762.59/547,414.24
  6. Step 6: Final answer
    x = 421,861.11

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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.