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Finding the Fourth Proportional to 513,286.67, 708,379.41 and 298,413.11

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Solution

The fourth proportional to 513,286.67, 708,379.41 and 298,413.11 is: 411,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,286.67 : 708,379.41 = 298,413.11 : x
  2. Step 2: Convert to fraction form
    513,286.67/708,379.41 = 298,413.11/x
  3. Step 3: Cross multiply
    513,286.67x = 708,379.41 × 298,413.11
  4. Step 4: Simplify right side
    513,286.67x = 211,389,702,798.07
  5. Step 5: Solve for x
    x = 211,389,702,798.07/513,286.67
  6. Step 6: Final answer
    x = 411,835.56

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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.