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Finding the Fourth Proportional to 490,471.75, 735,706.63 and 135,484.72

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Solution

The fourth proportional to 490,471.75, 735,706.63 and 135,484.72 is: 203,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,471.75 : 735,706.63 = 135,484.72 : x
  2. Step 2: Convert to fraction form
    490,471.75/735,706.63 = 135,484.72/x
  3. Step 3: Cross multiply
    490,471.75x = 735,706.63 × 135,484.72
  4. Step 4: Simplify right side
    490,471.75x = 99,677,006,767.69
  5. Step 5: Solve for x
    x = 99,677,006,767.69/490,471.75
  6. Step 6: Final answer
    x = 203,226.81

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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.