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Finding the Fourth Proportional to 385,504.36, 578,186.87 and 104,956

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Solution

The fourth proportional to 385,504.36, 578,186.87 and 104,956 is: 157,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,504.36 : 578,186.87 = 104,956 : x
  2. Step 2: Convert to fraction form
    385,504.36/578,186.87 = 104,956/x
  3. Step 3: Cross multiply
    385,504.36x = 578,186.87 × 104,956
  4. Step 4: Simplify right side
    385,504.36x = 60,684,181,127.72
  5. Step 5: Solve for x
    x = 60,684,181,127.72/385,504.36
  6. Step 6: Final answer
    x = 157,415.03

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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.