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Finding the Fourth Proportional to 311,901, 467,929.44 and 90,285

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Solution

The fourth proportional to 311,901, 467,929.44 and 90,285 is: 135,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,901 : 467,929.44 = 90,285 : x
  2. Step 2: Convert to fraction form
    311,901/467,929.44 = 90,285/x
  3. Step 3: Cross multiply
    311,901x = 467,929.44 × 90,285
  4. Step 4: Simplify right side
    311,901x = 42,247,009,490.40
  5. Step 5: Solve for x
    x = 42,247,009,490.40/311,901
  6. Step 6: Final answer
    x = 135,450.06

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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.