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Finding the Fourth Proportional to 342,690.72, 472,669.20 and 208,563.36

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Solution

The fourth proportional to 342,690.72, 472,669.20 and 208,563.36 is: 287,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,690.72 : 472,669.20 = 208,563.36 : x
  2. Step 2: Convert to fraction form
    342,690.72/472,669.20 = 208,563.36/x
  3. Step 3: Cross multiply
    342,690.72x = 472,669.20 × 208,563.36
  4. Step 4: Simplify right side
    342,690.72x = 98,581,476,520.51
  5. Step 5: Solve for x
    x = 98,581,476,520.51/342,690.72
  6. Step 6: Final answer
    x = 287,668.94

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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.