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Finding the Fourth Proportional to 300,969.99, 415,327.50 and 165,000.96

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Solution

The fourth proportional to 300,969.99, 415,327.50 and 165,000.96 is: 227,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,969.99 : 415,327.50 = 165,000.96 : x
  2. Step 2: Convert to fraction form
    300,969.99/415,327.50 = 165,000.96/x
  3. Step 3: Cross multiply
    300,969.99x = 415,327.50 × 165,000.96
  4. Step 4: Simplify right side
    300,969.99x = 68,529,436,214.40
  5. Step 5: Solve for x
    x = 68,529,436,214.40/300,969.99
  6. Step 6: Final answer
    x = 227,695.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.