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Finding the Fourth Proportional to 285,689.19, 394,235.85 and 164,823.30

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Solution

The fourth proportional to 285,689.19, 394,235.85 and 164,823.30 is: 227,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,689.19 : 394,235.85 = 164,823.30 : x
  2. Step 2: Convert to fraction form
    285,689.19/394,235.85 = 164,823.30/x
  3. Step 3: Cross multiply
    285,689.19x = 394,235.85 × 164,823.30
  4. Step 4: Simplify right side
    285,689.19x = 64,979,253,775.31
  5. Step 5: Solve for x
    x = 64,979,253,775.31/285,689.19
  6. Step 6: Final answer
    x = 227,447.37

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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.