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Finding the Fourth Proportional to 285,134.85, 393,573.73 and 164,356.86

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Solution

The fourth proportional to 285,134.85, 393,573.73 and 164,356.86 is: 226,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,134.85 : 393,573.73 = 164,356.86 : x
  2. Step 2: Convert to fraction form
    285,134.85/393,573.73 = 164,356.86/x
  3. Step 3: Cross multiply
    285,134.85x = 393,573.73 × 164,356.86
  4. Step 4: Simplify right side
    285,134.85x = 64,686,542,441.29
  5. Step 5: Solve for x
    x = 64,686,542,441.29/285,134.85
  6. Step 6: Final answer
    x = 226,862.98

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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.