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Finding the Fourth Proportional to 262,431.93, 393,413.48 and 102,470.66

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Solution

The fourth proportional to 262,431.93, 393,413.48 and 102,470.66 is: 153,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,431.93 : 393,413.48 = 102,470.66 : x
  2. Step 2: Convert to fraction form
    262,431.93/393,413.48 = 102,470.66/x
  3. Step 3: Cross multiply
    262,431.93x = 393,413.48 × 102,470.66
  4. Step 4: Simplify right side
    262,431.93x = 40,313,336,469.08
  5. Step 5: Solve for x
    x = 40,313,336,469.08/262,431.93
  6. Step 6: Final answer
    x = 153,614.45

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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.