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Finding the Fourth Proportional to 510,796.56, 766,308 and 155,837.76

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Solution

The fourth proportional to 510,796.56, 766,308 and 155,837.76 is: 233,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,796.56 : 766,308 = 155,837.76 : x
  2. Step 2: Convert to fraction form
    510,796.56/766,308 = 155,837.76/x
  3. Step 3: Cross multiply
    510,796.56x = 766,308 × 155,837.76
  4. Step 4: Simplify right side
    510,796.56x = 119,419,722,190.08
  5. Step 5: Solve for x
    x = 119,419,722,190.08/510,796.56
  6. Step 6: Final answer
    x = 233,791.16

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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.