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Finding the Fourth Proportional to 519,978, 779,868.36 and 253,470.48

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Solution

The fourth proportional to 519,978, 779,868.36 and 253,470.48 is: 380,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,978 : 779,868.36 = 253,470.48 : x
  2. Step 2: Convert to fraction form
    519,978/779,868.36 = 253,470.48/x
  3. Step 3: Cross multiply
    519,978x = 779,868.36 × 253,470.48
  4. Step 4: Simplify right side
    519,978x = 197,673,607,546.01
  5. Step 5: Solve for x
    x = 197,673,607,546.01/519,978
  6. Step 6: Final answer
    x = 380,157.64

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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.