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Finding the Fourth Proportional to 817,711, 1,226,577.54 and 256,745.56

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Solution

The fourth proportional to 817,711, 1,226,577.54 and 256,745.56 is: 385,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,711 : 1,226,577.54 = 256,745.56 : x
  2. Step 2: Convert to fraction form
    817,711/1,226,577.54 = 256,745.56/x
  3. Step 3: Cross multiply
    817,711x = 1,226,577.54 × 256,745.56
  4. Step 4: Simplify right side
    817,711x = 314,918,337,390.72
  5. Step 5: Solve for x
    x = 314,918,337,390.72/817,711
  6. Step 6: Final answer
    x = 385,121.81

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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.