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Finding the Fourth Proportional to 419,101.34, 578,372.33 and 258,049.31

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Solution

The fourth proportional to 419,101.34, 578,372.33 and 258,049.31 is: 356,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,101.34 : 578,372.33 = 258,049.31 : x
  2. Step 2: Convert to fraction form
    419,101.34/578,372.33 = 258,049.31/x
  3. Step 3: Cross multiply
    419,101.34x = 578,372.33 × 258,049.31
  4. Step 4: Simplify right side
    419,101.34x = 149,248,578,432.85
  5. Step 5: Solve for x
    x = 149,248,578,432.85/419,101.34
  6. Step 6: Final answer
    x = 356,115.73

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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.