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Finding the Fourth Proportional to 342,435.90, 472,751.57 and 206,504.28

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Solution

The fourth proportional to 342,435.90, 472,751.57 and 206,504.28 is: 285,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,435.90 : 472,751.57 = 206,504.28 : x
  2. Step 2: Convert to fraction form
    342,435.90/472,751.57 = 206,504.28/x
  3. Step 3: Cross multiply
    342,435.90x = 472,751.57 × 206,504.28
  4. Step 4: Simplify right side
    342,435.90x = 97,625,222,581.72
  5. Step 5: Solve for x
    x = 97,625,222,581.72/342,435.90
  6. Step 6: Final answer
    x = 285,090.50

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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.