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Finding the Fourth Proportional to 385,413.61, 531,857.22 and 213,331.92

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Solution

The fourth proportional to 385,413.61, 531,857.22 and 213,331.92 is: 294,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,413.61 : 531,857.22 = 213,331.92 : x
  2. Step 2: Convert to fraction form
    385,413.61/531,857.22 = 213,331.92/x
  3. Step 3: Cross multiply
    385,413.61x = 531,857.22 × 213,331.92
  4. Step 4: Simplify right side
    385,413.61x = 113,462,121,908.46
  5. Step 5: Solve for x
    x = 113,462,121,908.46/385,413.61
  6. Step 6: Final answer
    x = 294,390.54

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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.