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Finding the Fourth Proportional to 285,876.81, 394,455.36 and 163,407.98

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Solution

The fourth proportional to 285,876.81, 394,455.36 and 163,407.98 is: 225,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,876.81 : 394,455.36 = 163,407.98 : x
  2. Step 2: Convert to fraction form
    285,876.81/394,455.36 = 163,407.98/x
  3. Step 3: Cross multiply
    285,876.81x = 394,455.36 × 163,407.98
  4. Step 4: Simplify right side
    285,876.81x = 64,457,153,128.72
  5. Step 5: Solve for x
    x = 64,457,153,128.72/285,876.81
  6. Step 6: Final answer
    x = 225,471.78

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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.