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Finding the Fourth Proportional to 417,820.57, 579,542.26 and 406,746.23

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Solution

The fourth proportional to 417,820.57, 579,542.26 and 406,746.23 is: 564,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,820.57 : 579,542.26 = 406,746.23 : x
  2. Step 2: Convert to fraction form
    417,820.57/579,542.26 = 406,746.23/x
  3. Step 3: Cross multiply
    417,820.57x = 579,542.26 × 406,746.23
  4. Step 4: Simplify right side
    417,820.57x = 235,726,629,380.68
  5. Step 5: Solve for x
    x = 235,726,629,380.68/417,820.57
  6. Step 6: Final answer
    x = 564,181.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.