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Finding the Fourth Proportional to 420,059.96, 629,900.40 and 120,471.76

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Solution

The fourth proportional to 420,059.96, 629,900.40 and 120,471.76 is: 180,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,059.96 : 629,900.40 = 120,471.76 : x
  2. Step 2: Convert to fraction form
    420,059.96/629,900.40 = 120,471.76/x
  3. Step 3: Cross multiply
    420,059.96x = 629,900.40 × 120,471.76
  4. Step 4: Simplify right side
    420,059.96x = 75,885,209,812.70
  5. Step 5: Solve for x
    x = 75,885,209,812.70/420,059.96
  6. Step 6: Final answer
    x = 180,653.28

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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.