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Finding the Fourth Proportional to 312,342.76, 468,041.10 and 206,783.56

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Solution

The fourth proportional to 312,342.76, 468,041.10 and 206,783.56 is: 309,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,342.76 : 468,041.10 = 206,783.56 : x
  2. Step 2: Convert to fraction form
    312,342.76/468,041.10 = 206,783.56/x
  3. Step 3: Cross multiply
    312,342.76x = 468,041.10 × 206,783.56
  4. Step 4: Simplify right side
    312,342.76x = 96,783,204,884.32
  5. Step 5: Solve for x
    x = 96,783,204,884.32/312,342.76
  6. Step 6: Final answer
    x = 309,862.17

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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.