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Finding the Fourth Proportional to 385,413.88, 577,726.08 and 132,618.28

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Solution

The fourth proportional to 385,413.88, 577,726.08 and 132,618.28 is: 198,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,413.88 : 577,726.08 = 132,618.28 : x
  2. Step 2: Convert to fraction form
    385,413.88/577,726.08 = 132,618.28/x
  3. Step 3: Cross multiply
    385,413.88x = 577,726.08 × 132,618.28
  4. Step 4: Simplify right side
    385,413.88x = 76,617,039,040.74
  5. Step 5: Solve for x
    x = 76,617,039,040.74/385,413.88
  6. Step 6: Final answer
    x = 198,791.59

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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.