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Finding the Fourth Proportional to 419,043.18, 628,561.38 and 277,521.80

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Solution

The fourth proportional to 419,043.18, 628,561.38 and 277,521.80 is: 416,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,043.18 : 628,561.38 = 277,521.80 : x
  2. Step 2: Convert to fraction form
    419,043.18/628,561.38 = 277,521.80/x
  3. Step 3: Cross multiply
    419,043.18x = 628,561.38 × 277,521.80
  4. Step 4: Simplify right side
    419,043.18x = 174,439,485,588.08
  5. Step 5: Solve for x
    x = 174,439,485,588.08/419,043.18
  6. Step 6: Final answer
    x = 416,280.45

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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.