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Finding the Fourth Proportional to 427,997.80, 641,382.30 and 314,794.60

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Solution

The fourth proportional to 427,997.80, 641,382.30 and 314,794.60 is: 471,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,997.80 : 641,382.30 = 314,794.60 : x
  2. Step 2: Convert to fraction form
    427,997.80/641,382.30 = 314,794.60/x
  3. Step 3: Cross multiply
    427,997.80x = 641,382.30 × 314,794.60
  4. Step 4: Simplify right side
    427,997.80x = 201,903,684,575.58
  5. Step 5: Solve for x
    x = 201,903,684,575.58/427,997.80
  6. Step 6: Final answer
    x = 471,740.01

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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.