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Finding the Fourth Proportional to 494,814.80, 742,049.40 and 258,078.80

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Solution

The fourth proportional to 494,814.80, 742,049.40 and 258,078.80 is: 387,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,814.80 : 742,049.40 = 258,078.80 : x
  2. Step 2: Convert to fraction form
    494,814.80/742,049.40 = 258,078.80/x
  3. Step 3: Cross multiply
    494,814.80x = 742,049.40 × 258,078.80
  4. Step 4: Simplify right side
    494,814.80x = 191,507,218,692.72
  5. Step 5: Solve for x
    x = 191,507,218,692.72/494,814.80
  6. Step 6: Final answer
    x = 387,028.07

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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.