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Finding the Fourth Proportional to 571,811, 857,543.70 and 172,418.36

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Solution

The fourth proportional to 571,811, 857,543.70 and 172,418.36 is: 258,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,811 : 857,543.70 = 172,418.36 : x
  2. Step 2: Convert to fraction form
    571,811/857,543.70 = 172,418.36/x
  3. Step 3: Cross multiply
    571,811x = 857,543.70 × 172,418.36
  4. Step 4: Simplify right side
    571,811x = 147,856,278,382.33
  5. Step 5: Solve for x
    x = 147,856,278,382.33/571,811
  6. Step 6: Final answer
    x = 258,575.44

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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.