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Finding the Fourth Proportional to 351,996.84, 485,822.61 and 208,835.82

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Solution

The fourth proportional to 351,996.84, 485,822.61 and 208,835.82 is: 288,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,996.84 : 485,822.61 = 208,835.82 : x
  2. Step 2: Convert to fraction form
    351,996.84/485,822.61 = 208,835.82/x
  3. Step 3: Cross multiply
    351,996.84x = 485,822.61 × 208,835.82
  4. Step 4: Simplify right side
    351,996.84x = 101,457,163,133.89
  5. Step 5: Solve for x
    x = 101,457,163,133.89/351,996.84
  6. Step 6: Final answer
    x = 288,233.16

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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.