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Finding the Fourth Proportional to 319,223.58, 477,990.50 and 192,694.70

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Solution

The fourth proportional to 319,223.58, 477,990.50 and 192,694.70 is: 288,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,223.58 : 477,990.50 = 192,694.70 : x
  2. Step 2: Convert to fraction form
    319,223.58/477,990.50 = 192,694.70/x
  3. Step 3: Cross multiply
    319,223.58x = 477,990.50 × 192,694.70
  4. Step 4: Simplify right side
    319,223.58x = 92,106,232,646.92
  5. Step 5: Solve for x
    x = 92,106,232,646.92/319,223.58
  6. Step 6: Final answer
    x = 288,532.05

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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.