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Finding the Fourth Proportional to 804,580, 1,206,870 and 205,542.48

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Solution

The fourth proportional to 804,580, 1,206,870 and 205,542.48 is: 308,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,580 : 1,206,870 = 205,542.48 : x
  2. Step 2: Convert to fraction form
    804,580/1,206,870 = 205,542.48/x
  3. Step 3: Cross multiply
    804,580x = 1,206,870 × 205,542.48
  4. Step 4: Simplify right side
    804,580x = 248,063,052,837.60
  5. Step 5: Solve for x
    x = 248,063,052,837.60/804,580
  6. Step 6: Final answer
    x = 308,313.72

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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.