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Finding the Fourth Proportional to 314,673.57, 434,135.62 and 205,840.03

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Solution

The fourth proportional to 314,673.57, 434,135.62 and 205,840.03 is: 283,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,673.57 : 434,135.62 = 205,840.03 : x
  2. Step 2: Convert to fraction form
    314,673.57/434,135.62 = 205,840.03/x
  3. Step 3: Cross multiply
    314,673.57x = 434,135.62 × 205,840.03
  4. Step 4: Simplify right side
    314,673.57x = 89,362,489,044.87
  5. Step 5: Solve for x
    x = 89,362,489,044.87/314,673.57
  6. Step 6: Final answer
    x = 283,984.73

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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.