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Finding the Fourth Proportional to 378,509.88, 567,667.92 and 112,208.16

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Solution

The fourth proportional to 378,509.88, 567,667.92 and 112,208.16 is: 168,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,509.88 : 567,667.92 = 112,208.16 : x
  2. Step 2: Convert to fraction form
    378,509.88/567,667.92 = 112,208.16/x
  3. Step 3: Cross multiply
    378,509.88x = 567,667.92 × 112,208.16
  4. Step 4: Simplify right side
    378,509.88x = 63,696,972,794.23
  5. Step 5: Solve for x
    x = 63,696,972,794.23/378,509.88
  6. Step 6: Final answer
    x = 168,283.51

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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.