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Finding the Fourth Proportional to 519,982.36, 779,874.92 and 253,474.84

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Solution

The fourth proportional to 519,982.36, 779,874.92 and 253,474.84 is: 380,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,982.36 : 779,874.92 = 253,474.84 : x
  2. Step 2: Convert to fraction form
    519,982.36/779,874.92 = 253,474.84/x
  3. Step 3: Cross multiply
    519,982.36x = 779,874.92 × 253,474.84
  4. Step 4: Simplify right side
    519,982.36x = 197,678,670,567.01
  5. Step 5: Solve for x
    x = 197,678,670,567.01/519,982.36
  6. Step 6: Final answer
    x = 380,164.19

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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.