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Finding the Fourth Proportional to 285,713.84, 394,289.54 and 156,664.10

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Solution

The fourth proportional to 285,713.84, 394,289.54 and 156,664.10 is: 216,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,713.84 : 394,289.54 = 156,664.10 : x
  2. Step 2: Convert to fraction form
    285,713.84/394,289.54 = 156,664.10/x
  3. Step 3: Cross multiply
    285,713.84x = 394,289.54 × 156,664.10
  4. Step 4: Simplify right side
    285,713.84x = 61,771,015,923.51
  5. Step 5: Solve for x
    x = 61,771,015,923.51/285,713.84
  6. Step 6: Final answer
    x = 216,198.89

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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.