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Finding the Fourth Proportional to 378,616.48, 567,110.40 and 178,637.28

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Solution

The fourth proportional to 378,616.48, 567,110.40 and 178,637.28 is: 267,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,616.48 : 567,110.40 = 178,637.28 : x
  2. Step 2: Convert to fraction form
    378,616.48/567,110.40 = 178,637.28/x
  3. Step 3: Cross multiply
    378,616.48x = 567,110.40 × 178,637.28
  4. Step 4: Simplify right side
    378,616.48x = 101,307,059,315.71
  5. Step 5: Solve for x
    x = 101,307,059,315.71/378,616.48
  6. Step 6: Final answer
    x = 267,571.71

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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.