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Finding the Fourth Proportional to 680,234.55, 1,020,315.37 and 206,883

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Solution

The fourth proportional to 680,234.55, 1,020,315.37 and 206,883 is: 310,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,234.55 : 1,020,315.37 = 206,883 : x
  2. Step 2: Convert to fraction form
    680,234.55/1,020,315.37 = 206,883/x
  3. Step 3: Cross multiply
    680,234.55x = 1,020,315.37 × 206,883
  4. Step 4: Simplify right side
    680,234.55x = 211,085,904,691.71
  5. Step 5: Solve for x
    x = 211,085,904,691.71/680,234.55
  6. Step 6: Final answer
    x = 310,313.41

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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.