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Finding the Fourth Proportional to 319,712.80, 440,932.80 and 192,364.60

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Solution

The fourth proportional to 319,712.80, 440,932.80 and 192,364.60 is: 265,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,712.80 : 440,932.80 = 192,364.60 : x
  2. Step 2: Convert to fraction form
    319,712.80/440,932.80 = 192,364.60/x
  3. Step 3: Cross multiply
    319,712.80x = 440,932.80 × 192,364.60
  4. Step 4: Simplify right side
    319,712.80x = 84,819,861,698.88
  5. Step 5: Solve for x
    x = 84,819,861,698.88/319,712.80
  6. Step 6: Final answer
    x = 265,300.17

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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.