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Finding the Fourth Proportional to 308,113.86, 461,972.91 and 128,323.95

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Solution

The fourth proportional to 308,113.86, 461,972.91 and 128,323.95 is: 192,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,113.86 : 461,972.91 = 128,323.95 : x
  2. Step 2: Convert to fraction form
    308,113.86/461,972.91 = 128,323.95/x
  3. Step 3: Cross multiply
    308,113.86x = 461,972.91 × 128,323.95
  4. Step 4: Simplify right side
    308,113.86x = 59,282,188,604.19
  5. Step 5: Solve for x
    x = 59,282,188,604.19/308,113.86
  6. Step 6: Final answer
    x = 192,403.51

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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.