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Finding the Fourth Proportional to 355,702.30, 490,865.59 and 194,560.49

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Solution

The fourth proportional to 355,702.30, 490,865.59 and 194,560.49 is: 268,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,702.30 : 490,865.59 = 194,560.49 : x
  2. Step 2: Convert to fraction form
    355,702.30/490,865.59 = 194,560.49/x
  3. Step 3: Cross multiply
    355,702.30x = 490,865.59 × 194,560.49
  4. Step 4: Simplify right side
    355,702.30x = 95,503,049,714.54
  5. Step 5: Solve for x
    x = 95,503,049,714.54/355,702.30
  6. Step 6: Final answer
    x = 268,491.52

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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.