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Finding the Fourth Proportional to 657,485.70, 986,228.55 and 419,540.10

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Solution

The fourth proportional to 657,485.70, 986,228.55 and 419,540.10 is: 629,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,485.70 : 986,228.55 = 419,540.10 : x
  2. Step 2: Convert to fraction form
    657,485.70/986,228.55 = 419,540.10/x
  3. Step 3: Cross multiply
    657,485.70x = 986,228.55 × 419,540.10
  4. Step 4: Simplify right side
    657,485.70x = 413,762,424,489.86
  5. Step 5: Solve for x
    x = 413,762,424,489.86/657,485.70
  6. Step 6: Final answer
    x = 629,310.15

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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.