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Finding the Fourth Proportional to 285,179.76, 393,635.67 and 164,401.77

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Solution

The fourth proportional to 285,179.76, 393,635.67 and 164,401.77 is: 226,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,179.76 : 393,635.67 = 164,401.77 : x
  2. Step 2: Convert to fraction form
    285,179.76/393,635.67 = 164,401.77/x
  3. Step 3: Cross multiply
    285,179.76x = 393,635.67 × 164,401.77
  4. Step 4: Simplify right side
    285,179.76x = 64,714,400,883.14
  5. Step 5: Solve for x
    x = 64,714,400,883.14/285,179.76
  6. Step 6: Final answer
    x = 226,924.94

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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.