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Finding the Fourth Proportional to 419,410.44, 579,171.06 and 266,499

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Solution

The fourth proportional to 419,410.44, 579,171.06 and 266,499 is: 368,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,410.44 : 579,171.06 = 266,499 : x
  2. Step 2: Convert to fraction form
    419,410.44/579,171.06 = 266,499/x
  3. Step 3: Cross multiply
    419,410.44x = 579,171.06 × 266,499
  4. Step 4: Simplify right side
    419,410.44x = 154,348,508,318.94
  5. Step 5: Solve for x
    x = 154,348,508,318.94/419,410.44
  6. Step 6: Final answer
    x = 368,013.03

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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.