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Finding the Fourth Proportional to 343,816.40, 515,413.56 and 122,148.56

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Solution

The fourth proportional to 343,816.40, 515,413.56 and 122,148.56 is: 183,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,816.40 : 515,413.56 = 122,148.56 : x
  2. Step 2: Convert to fraction form
    343,816.40/515,413.56 = 122,148.56/x
  3. Step 3: Cross multiply
    343,816.40x = 515,413.56 × 122,148.56
  4. Step 4: Simplify right side
    343,816.40x = 62,957,024,158.47
  5. Step 5: Solve for x
    x = 62,957,024,158.47/343,816.40
  6. Step 6: Final answer
    x = 183,112.34

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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.