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Finding the Fourth Proportional to 419,086.73, 578,352.17 and 258,034.68

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Solution

The fourth proportional to 419,086.73, 578,352.17 and 258,034.68 is: 356,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,086.73 : 578,352.17 = 258,034.68 : x
  2. Step 2: Convert to fraction form
    419,086.73/578,352.17 = 258,034.68/x
  3. Step 3: Cross multiply
    419,086.73x = 578,352.17 × 258,034.68
  4. Step 4: Simplify right side
    419,086.73x = 149,234,917,758.34
  5. Step 5: Solve for x
    x = 149,234,917,758.34/419,086.73
  6. Step 6: Final answer
    x = 356,095.54

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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.