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Finding the Fourth Proportional to 378,333.78, 567,583.70 and 112,115.13

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Solution

The fourth proportional to 378,333.78, 567,583.70 and 112,115.13 is: 168,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,333.78 : 567,583.70 = 112,115.13 : x
  2. Step 2: Convert to fraction form
    378,333.78/567,583.70 = 112,115.13/x
  3. Step 3: Cross multiply
    378,333.78x = 567,583.70 × 112,115.13
  4. Step 4: Simplify right side
    378,333.78x = 63,634,719,750.81
  5. Step 5: Solve for x
    x = 63,634,719,750.81/378,333.78
  6. Step 6: Final answer
    x = 168,197.30

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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.