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Finding the Fourth Proportional to 808,477.70, 1,213,700.70 and 408,912.80

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Solution

The fourth proportional to 808,477.70, 1,213,700.70 and 408,912.80 is: 613,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,477.70 : 1,213,700.70 = 408,912.80 : x
  2. Step 2: Convert to fraction form
    808,477.70/1,213,700.70 = 408,912.80/x
  3. Step 3: Cross multiply
    808,477.70x = 1,213,700.70 × 408,912.80
  4. Step 4: Simplify right side
    808,477.70x = 496,297,751,598.96
  5. Step 5: Solve for x
    x = 496,297,751,598.96/808,477.70
  6. Step 6: Final answer
    x = 613,866.96

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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.