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Finding the Fourth Proportional to 378,129.60, 567,413.10 and 141,496.20

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Solution

The fourth proportional to 378,129.60, 567,413.10 and 141,496.20 is: 212,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,129.60 : 567,413.10 = 141,496.20 : x
  2. Step 2: Convert to fraction form
    378,129.60/567,413.10 = 141,496.20/x
  3. Step 3: Cross multiply
    378,129.60x = 567,413.10 × 141,496.20
  4. Step 4: Simplify right side
    378,129.60x = 80,286,797,480.22
  5. Step 5: Solve for x
    x = 80,286,797,480.22/378,129.60
  6. Step 6: Final answer
    x = 212,326.14

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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.