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Finding the Fourth Proportional to 680,049.60, 1,020,112.80 and 206,750.40

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Solution

The fourth proportional to 680,049.60, 1,020,112.80 and 206,750.40 is: 310,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,049.60 : 1,020,112.80 = 206,750.40 : x
  2. Step 2: Convert to fraction form
    680,049.60/1,020,112.80 = 206,750.40/x
  3. Step 3: Cross multiply
    680,049.60x = 1,020,112.80 × 206,750.40
  4. Step 4: Simplify right side
    680,049.60x = 210,908,729,445.12
  5. Step 5: Solve for x
    x = 210,908,729,445.12/680,049.60
  6. Step 6: Final answer
    x = 310,137.27

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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.