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Finding the Fourth Proportional to 378,132.65, 567,319.22 and 111,894.47

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Solution

The fourth proportional to 378,132.65, 567,319.22 and 111,894.47 is: 167,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,132.65 : 567,319.22 = 111,894.47 : x
  2. Step 2: Convert to fraction form
    378,132.65/567,319.22 = 111,894.47/x
  3. Step 3: Cross multiply
    378,132.65x = 567,319.22 × 111,894.47
  4. Step 4: Simplify right side
    378,132.65x = 63,479,883,442.71
  5. Step 5: Solve for x
    x = 63,479,883,442.71/378,132.65
  6. Step 6: Final answer
    x = 167,877.29

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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.