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Finding the Fourth Proportional to 378,070.77, 567,216.87 and 111,838.38

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Solution

The fourth proportional to 378,070.77, 567,216.87 and 111,838.38 is: 167,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,070.77 : 567,216.87 = 111,838.38 : x
  2. Step 2: Convert to fraction form
    378,070.77/567,216.87 = 111,838.38/x
  3. Step 3: Cross multiply
    378,070.77x = 567,216.87 × 111,838.38
  4. Step 4: Simplify right side
    378,070.77x = 63,436,615,849.47
  5. Step 5: Solve for x
    x = 63,436,615,849.47/378,070.77
  6. Step 6: Final answer
    x = 167,790.32

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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.