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Finding the Fourth Proportional to 311,664, 467,573.76 and 90,048

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Solution

The fourth proportional to 311,664, 467,573.76 and 90,048 is: 135,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,664 : 467,573.76 = 90,048 : x
  2. Step 2: Convert to fraction form
    311,664/467,573.76 = 90,048/x
  3. Step 3: Cross multiply
    311,664x = 467,573.76 × 90,048
  4. Step 4: Simplify right side
    311,664x = 42,104,081,940.48
  5. Step 5: Solve for x
    x = 42,104,081,940.48/311,664
  6. Step 6: Final answer
    x = 135,094.47

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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.