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Finding the Fourth Proportional to 396,413.92, 594,682.98 and 130,114

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Solution

The fourth proportional to 396,413.92, 594,682.98 and 130,114 is: 195,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,413.92 : 594,682.98 = 130,114 : x
  2. Step 2: Convert to fraction form
    396,413.92/594,682.98 = 130,114/x
  3. Step 3: Cross multiply
    396,413.92x = 594,682.98 × 130,114
  4. Step 4: Simplify right side
    396,413.92x = 77,376,581,259.72
  5. Step 5: Solve for x
    x = 77,376,581,259.72/396,413.92
  6. Step 6: Final answer
    x = 195,191.38

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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.