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Finding the Fourth Proportional to 368,873.96, 509,072.12 and 205,541.30

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Solution

The fourth proportional to 368,873.96, 509,072.12 and 205,541.30 is: 283,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,873.96 : 509,072.12 = 205,541.30 : x
  2. Step 2: Convert to fraction form
    368,873.96/509,072.12 = 205,541.30/x
  3. Step 3: Cross multiply
    368,873.96x = 509,072.12 × 205,541.30
  4. Step 4: Simplify right side
    368,873.96x = 104,635,347,125.09
  5. Step 5: Solve for x
    x = 104,635,347,125.09/368,873.96
  6. Step 6: Final answer
    x = 283,661.52

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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.