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Finding the Fourth Proportional to 256,936.93, 385,458.59 and 77,015.09

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Solution

The fourth proportional to 256,936.93, 385,458.59 and 77,015.09 is: 115,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,936.93 : 385,458.59 = 77,015.09 : x
  2. Step 2: Convert to fraction form
    256,936.93/385,458.59 = 77,015.09/x
  3. Step 3: Cross multiply
    256,936.93x = 385,458.59 × 77,015.09
  4. Step 4: Simplify right side
    256,936.93x = 29,686,128,926.23
  5. Step 5: Solve for x
    x = 29,686,128,926.23/256,936.93
  6. Step 6: Final answer
    x = 115,538.58

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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.