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Finding the Fourth Proportional to 380,413.26, 570,124.17 and 211,926.78

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Solution

The fourth proportional to 380,413.26, 570,124.17 and 211,926.78 is: 317,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,413.26 : 570,124.17 = 211,926.78 : x
  2. Step 2: Convert to fraction form
    380,413.26/570,124.17 = 211,926.78/x
  3. Step 3: Cross multiply
    380,413.26x = 570,124.17 × 211,926.78
  4. Step 4: Simplify right side
    380,413.26x = 120,824,579,548.27
  5. Step 5: Solve for x
    x = 120,824,579,548.27/380,413.26
  6. Step 6: Final answer
    x = 317,614.01

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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.