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Finding the Fourth Proportional to 253,413.90, 349,711.83 and 140,240.70

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Solution

The fourth proportional to 253,413.90, 349,711.83 and 140,240.70 is: 193,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,413.90 : 349,711.83 = 140,240.70 : x
  2. Step 2: Convert to fraction form
    253,413.90/349,711.83 = 140,240.70/x
  3. Step 3: Cross multiply
    253,413.90x = 349,711.83 × 140,240.70
  4. Step 4: Simplify right side
    253,413.90x = 49,043,831,837.48
  5. Step 5: Solve for x
    x = 49,043,831,837.48/253,413.90
  6. Step 6: Final answer
    x = 193,532.52

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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.