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Finding the Fourth Proportional to 213,146.40, 319,892.40 and 206,234.40

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Solution

The fourth proportional to 213,146.40, 319,892.40 and 206,234.40 is: 309,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146.40 : 319,892.40 = 206,234.40 : x
  2. Step 2: Convert to fraction form
    213,146.40/319,892.40 = 206,234.40/x
  3. Step 3: Cross multiply
    213,146.40x = 319,892.40 × 206,234.40
  4. Step 4: Simplify right side
    213,146.40x = 65,972,817,178.56
  5. Step 5: Solve for x
    x = 65,972,817,178.56/213,146.40
  6. Step 6: Final answer
    x = 309,518.80

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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.