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Finding the Fourth Proportional to 274,951.40, 412,427.10 and 204,967.40

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Solution

The fourth proportional to 274,951.40, 412,427.10 and 204,967.40 is: 307,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,951.40 : 412,427.10 = 204,967.40 : x
  2. Step 2: Convert to fraction form
    274,951.40/412,427.10 = 204,967.40/x
  3. Step 3: Cross multiply
    274,951.40x = 412,427.10 × 204,967.40
  4. Step 4: Simplify right side
    274,951.40x = 84,534,110,376.54
  5. Step 5: Solve for x
    x = 84,534,110,376.54/274,951.40
  6. Step 6: Final answer
    x = 307,451.10

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1.5x scale

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.