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Finding the Fourth Proportional to 326,977, 490,464.84 and 90,318.98

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Solution

The fourth proportional to 326,977, 490,464.84 and 90,318.98 is: 135,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,977 : 490,464.84 = 90,318.98 : x
  2. Step 2: Convert to fraction form
    326,977/490,464.84 = 90,318.98/x
  3. Step 3: Cross multiply
    326,977x = 490,464.84 × 90,318.98
  4. Step 4: Simplify right side
    326,977x = 44,298,284,074.66
  5. Step 5: Solve for x
    x = 44,298,284,074.66/326,977
  6. Step 6: Final answer
    x = 135,478.29

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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.