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Finding the Fourth Proportional to 680,305.20, 1,020,605.40 and 206,978.25

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Solution

The fourth proportional to 680,305.20, 1,020,605.40 and 206,978.25 is: 310,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,305.20 : 1,020,605.40 = 206,978.25 : x
  2. Step 2: Convert to fraction form
    680,305.20/1,020,605.40 = 206,978.25/x
  3. Step 3: Cross multiply
    680,305.20x = 1,020,605.40 × 206,978.25
  4. Step 4: Simplify right side
    680,305.20x = 211,243,119,632.55
  5. Step 5: Solve for x
    x = 211,243,119,632.55/680,305.20
  6. Step 6: Final answer
    x = 310,512.28

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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.