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Finding the Fourth Proportional to 279,413.28, 419,130.10 and 99,511.94

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Solution

The fourth proportional to 279,413.28, 419,130.10 and 99,511.94 is: 149,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,413.28 : 419,130.10 = 99,511.94 : x
  2. Step 2: Convert to fraction form
    279,413.28/419,130.10 = 99,511.94/x
  3. Step 3: Cross multiply
    279,413.28x = 419,130.10 × 99,511.94
  4. Step 4: Simplify right side
    279,413.28x = 41,708,447,267.74
  5. Step 5: Solve for x
    x = 41,708,447,267.74/279,413.28
  6. Step 6: Final answer
    x = 149,271.53

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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.