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Finding the Fourth Proportional to 605,814.20, 908,721.30 and 206,905.40

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Solution

The fourth proportional to 605,814.20, 908,721.30 and 206,905.40 is: 310,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,814.20 : 908,721.30 = 206,905.40 : x
  2. Step 2: Convert to fraction form
    605,814.20/908,721.30 = 206,905.40/x
  3. Step 3: Cross multiply
    605,814.20x = 908,721.30 × 206,905.40
  4. Step 4: Simplify right side
    605,814.20x = 188,019,344,065.02
  5. Step 5: Solve for x
    x = 188,019,344,065.02/605,814.20
  6. Step 6: Final answer
    x = 310,358.10

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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.