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Finding the Fourth Proportional to 538,413.10, 807,418.53 and 178,517.95

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Solution

The fourth proportional to 538,413.10, 807,418.53 and 178,517.95 is: 267,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,413.10 : 807,418.53 = 178,517.95 : x
  2. Step 2: Convert to fraction form
    538,413.10/807,418.53 = 178,517.95/x
  3. Step 3: Cross multiply
    538,413.10x = 807,418.53 × 178,517.95
  4. Step 4: Simplify right side
    538,413.10x = 144,138,698,749.07
  5. Step 5: Solve for x
    x = 144,138,698,749.07/538,413.10
  6. Step 6: Final answer
    x = 267,710.24

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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.