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Finding the Fourth Proportional to 396,413.76, 546,872.40 and 235,275.60

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Solution

The fourth proportional to 396,413.76, 546,872.40 and 235,275.60 is: 324,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,413.76 : 546,872.40 = 235,275.60 : x
  2. Step 2: Convert to fraction form
    396,413.76/546,872.40 = 235,275.60/x
  3. Step 3: Cross multiply
    396,413.76x = 546,872.40 × 235,275.60
  4. Step 4: Simplify right side
    396,413.76x = 128,665,732,033.44
  5. Step 5: Solve for x
    x = 128,665,732,033.44/396,413.76
  6. Step 6: Final answer
    x = 324,574.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.