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Finding the Fourth Proportional to 821,505, 1,232,397.62 and 366,261.42

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Solution

The fourth proportional to 821,505, 1,232,397.62 and 366,261.42 is: 549,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,505 : 1,232,397.62 = 366,261.42 : x
  2. Step 2: Convert to fraction form
    821,505/1,232,397.62 = 366,261.42/x
  3. Step 3: Cross multiply
    821,505x = 1,232,397.62 × 366,261.42
  4. Step 4: Simplify right side
    821,505x = 451,379,702,305.82
  5. Step 5: Solve for x
    x = 451,379,702,305.82/821,505
  6. Step 6: Final answer
    x = 549,454.60

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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.