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Finding the Fourth Proportional to 208,241.76, 312,362.65 and 50,470.21

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Solution

The fourth proportional to 208,241.76, 312,362.65 and 50,470.21 is: 75,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241.76 : 312,362.65 = 50,470.21 : x
  2. Step 2: Convert to fraction form
    208,241.76/312,362.65 = 50,470.21/x
  3. Step 3: Cross multiply
    208,241.76x = 312,362.65 × 50,470.21
  4. Step 4: Simplify right side
    208,241.76x = 15,765,010,015.67
  5. Step 5: Solve for x
    x = 15,765,010,015.67/208,241.76
  6. Step 6: Final answer
    x = 75,705.32

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1.5x scale

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.