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Finding the Fourth Proportional to 498,413.30, 687,786.33 and 283,533.14

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Solution

The fourth proportional to 498,413.30, 687,786.33 and 283,533.14 is: 391,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,413.30 : 687,786.33 = 283,533.14 : x
  2. Step 2: Convert to fraction form
    498,413.30/687,786.33 = 283,533.14/x
  3. Step 3: Cross multiply
    498,413.30x = 687,786.33 × 283,533.14
  4. Step 4: Simplify right side
    498,413.30x = 195,010,217,793.98
  5. Step 5: Solve for x
    x = 195,010,217,793.98/498,413.30
  6. Step 6: Final answer
    x = 391,262.07

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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.