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Finding the Fourth Proportional to 507,978, 701,016.39 and 278,534.70

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Solution

The fourth proportional to 507,978, 701,016.39 and 278,534.70 is: 384,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978 : 701,016.39 = 278,534.70 : x
  2. Step 2: Convert to fraction form
    507,978/701,016.39 = 278,534.70/x
  3. Step 3: Cross multiply
    507,978x = 701,016.39 × 278,534.70
  4. Step 4: Simplify right side
    507,978x = 195,257,389,883.73
  5. Step 5: Solve for x
    x = 195,257,389,883.73/507,978
  6. Step 6: Final answer
    x = 384,381.59

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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.