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Finding the Fourth Proportional to 200,741.70, 301,112.55 and 197,631.30

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Solution

The fourth proportional to 200,741.70, 301,112.55 and 197,631.30 is: 296,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,741.70 : 301,112.55 = 197,631.30 : x
  2. Step 2: Convert to fraction form
    200,741.70/301,112.55 = 197,631.30/x
  3. Step 3: Cross multiply
    200,741.70x = 301,112.55 × 197,631.30
  4. Step 4: Simplify right side
    200,741.70x = 59,509,264,702.82
  5. Step 5: Solve for x
    x = 59,509,264,702.82/200,741.70
  6. Step 6: Final answer
    x = 296,446.95

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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.