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Finding the Fourth Proportional to 311,961.60, 467,907.84 and 90,345.60

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Solution

The fourth proportional to 311,961.60, 467,907.84 and 90,345.60 is: 135,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,961.60 : 467,907.84 = 90,345.60 : x
  2. Step 2: Convert to fraction form
    311,961.60/467,907.84 = 90,345.60/x
  3. Step 3: Cross multiply
    311,961.60x = 467,907.84 × 90,345.60
  4. Step 4: Simplify right side
    311,961.60x = 42,273,414,549.50
  5. Step 5: Solve for x
    x = 42,273,414,549.50/311,961.60
  6. Step 6: Final answer
    x = 135,508.39

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1.5x scale

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.