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Finding the Fourth Proportional to 374,850.30, 517,305.75 and 205,080.54

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Solution

The fourth proportional to 374,850.30, 517,305.75 and 205,080.54 is: 283,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,850.30 : 517,305.75 = 205,080.54 : x
  2. Step 2: Convert to fraction form
    374,850.30/517,305.75 = 205,080.54/x
  3. Step 3: Cross multiply
    374,850.30x = 517,305.75 × 205,080.54
  4. Step 4: Simplify right side
    374,850.30x = 106,089,342,555.11
  5. Step 5: Solve for x
    x = 106,089,342,555.11/374,850.30
  6. Step 6: Final answer
    x = 283,017.89

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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.