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Finding the Fourth Proportional to 312,043.37, 468,388.10 and 192,186.65

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Solution

The fourth proportional to 312,043.37, 468,388.10 and 192,186.65 is: 288,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,043.37 : 468,388.10 = 192,186.65 : x
  2. Step 2: Convert to fraction form
    312,043.37/468,388.10 = 192,186.65/x
  3. Step 3: Cross multiply
    312,043.37x = 468,388.10 × 192,186.65
  4. Step 4: Simplify right side
    312,043.37x = 90,017,941,490.30
  5. Step 5: Solve for x
    x = 90,017,941,490.30/312,043.37
  6. Step 6: Final answer
    x = 288,478.95

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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.