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Finding the Fourth Proportional to 285,064.78, 393,431.12 and 164,182.54

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Solution

The fourth proportional to 285,064.78, 393,431.12 and 164,182.54 is: 226,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,064.78 : 393,431.12 = 164,182.54 : x
  2. Step 2: Convert to fraction form
    285,064.78/393,431.12 = 164,182.54/x
  3. Step 3: Cross multiply
    285,064.78x = 393,431.12 × 164,182.54
  4. Step 4: Simplify right side
    285,064.78x = 64,594,520,596.64
  5. Step 5: Solve for x
    x = 64,594,520,596.64/285,064.78
  6. Step 6: Final answer
    x = 226,595.94

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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.