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Finding the Fourth Proportional to 804,586.80, 1,206,879.12 and 205,548.40

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Solution

The fourth proportional to 804,586.80, 1,206,879.12 and 205,548.40 is: 308,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,586.80 : 1,206,879.12 = 205,548.40 : x
  2. Step 2: Convert to fraction form
    804,586.80/1,206,879.12 = 205,548.40/x
  3. Step 3: Cross multiply
    804,586.80x = 1,206,879.12 × 205,548.40
  4. Step 4: Simplify right side
    804,586.80x = 248,072,072,109.41
  5. Step 5: Solve for x
    x = 248,072,072,109.41/804,586.80
  6. Step 6: Final answer
    x = 308,322.32

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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.