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Finding the Fourth Proportional to 580,079.94, 800,498.25 and 321,941.91

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Solution

The fourth proportional to 580,079.94, 800,498.25 and 321,941.91 is: 444,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,079.94 : 800,498.25 = 321,941.91 : x
  2. Step 2: Convert to fraction form
    580,079.94/800,498.25 = 321,941.91/x
  3. Step 3: Cross multiply
    580,079.94x = 800,498.25 × 321,941.91
  4. Step 4: Simplify right side
    580,079.94x = 257,713,935,556.66
  5. Step 5: Solve for x
    x = 257,713,935,556.66/580,079.94
  6. Step 6: Final answer
    x = 444,273.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.