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Finding the Fourth Proportional to 657,661.20, 984,742.20 and 419,715.60

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Solution

The fourth proportional to 657,661.20, 984,742.20 and 419,715.60 is: 628,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,661.20 : 984,742.20 = 419,715.60 : x
  2. Step 2: Convert to fraction form
    657,661.20/984,742.20 = 419,715.60/x
  3. Step 3: Cross multiply
    657,661.20x = 984,742.20 × 419,715.60
  4. Step 4: Simplify right side
    657,661.20x = 413,311,663,318.32
  5. Step 5: Solve for x
    x = 413,311,663,318.32/657,661.20
  6. Step 6: Final answer
    x = 628,456.82

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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.