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Finding the Fourth Proportional to 458,179.14, 686,992.59 and 205,413.87

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Solution

The fourth proportional to 458,179.14, 686,992.59 and 205,413.87 is: 307,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,179.14 : 686,992.59 = 205,413.87 : x
  2. Step 2: Convert to fraction form
    458,179.14/686,992.59 = 205,413.87/x
  3. Step 3: Cross multiply
    458,179.14x = 686,992.59 × 205,413.87
  4. Step 4: Simplify right side
    458,179.14x = 141,117,806,573.22
  5. Step 5: Solve for x
    x = 141,117,806,573.22/458,179.14
  6. Step 6: Final answer
    x = 307,997.01

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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.