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Finding the Fourth Proportional to 335,965.70, 463,615.16 and 208,638.56

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Solution

The fourth proportional to 335,965.70, 463,615.16 and 208,638.56 is: 287,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,965.70 : 463,615.16 = 208,638.56 : x
  2. Step 2: Convert to fraction form
    335,965.70/463,615.16 = 208,638.56/x
  3. Step 3: Cross multiply
    335,965.70x = 463,615.16 × 208,638.56
  4. Step 4: Simplify right side
    335,965.70x = 96,727,999,376.57
  5. Step 5: Solve for x
    x = 96,727,999,376.57/335,965.70
  6. Step 6: Final answer
    x = 287,910.34

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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.