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Finding the Fourth Proportional to 266,413.70, 399,102.15 and 160,919.30

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Solution

The fourth proportional to 266,413.70, 399,102.15 and 160,919.30 is: 241,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,413.70 : 399,102.15 = 160,919.30 : x
  2. Step 2: Convert to fraction form
    266,413.70/399,102.15 = 160,919.30/x
  3. Step 3: Cross multiply
    266,413.70x = 399,102.15 × 160,919.30
  4. Step 4: Simplify right side
    266,413.70x = 64,223,238,606.50
  5. Step 5: Solve for x
    x = 64,223,238,606.50/266,413.70
  6. Step 6: Final answer
    x = 241,065.83

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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.