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Finding the Fourth Proportional to 680,147.10, 1,020,259.05 and 206,847.90

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Solution

The fourth proportional to 680,147.10, 1,020,259.05 and 206,847.90 is: 310,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,147.10 : 1,020,259.05 = 206,847.90 : x
  2. Step 2: Convert to fraction form
    680,147.10/1,020,259.05 = 206,847.90/x
  3. Step 3: Cross multiply
    680,147.10x = 1,020,259.05 × 206,847.90
  4. Step 4: Simplify right side
    680,147.10x = 211,038,441,948.50
  5. Step 5: Solve for x
    x = 211,038,441,948.50/680,147.10
  6. Step 6: Final answer
    x = 310,283.53

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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.