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Finding the Fourth Proportional to 306,382.21, 422,793.81 and 177,300.01

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Solution

The fourth proportional to 306,382.21, 422,793.81 and 177,300.01 is: 244,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,382.21 : 422,793.81 = 177,300.01 : x
  2. Step 2: Convert to fraction form
    306,382.21/422,793.81 = 177,300.01/x
  3. Step 3: Cross multiply
    306,382.21x = 422,793.81 × 177,300.01
  4. Step 4: Simplify right side
    306,382.21x = 74,961,346,740.94
  5. Step 5: Solve for x
    x = 74,961,346,740.94/306,382.21
  6. Step 6: Final answer
    x = 244,666.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.