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Finding the Fourth Proportional to 457,126.58, 685,970.13 and 204,620.57

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Solution

The fourth proportional to 457,126.58, 685,970.13 and 204,620.57 is: 307,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,126.58 : 685,970.13 = 204,620.57 : x
  2. Step 2: Convert to fraction form
    457,126.58/685,970.13 = 204,620.57/x
  3. Step 3: Cross multiply
    457,126.58x = 685,970.13 × 204,620.57
  4. Step 4: Simplify right side
    457,126.58x = 140,363,597,085.55
  5. Step 5: Solve for x
    x = 140,363,597,085.55/457,126.58
  6. Step 6: Final answer
    x = 307,056.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.