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Finding the Fourth Proportional to 285,377.31, 393,819.84 and 164,518.02

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Solution

The fourth proportional to 285,377.31, 393,819.84 and 164,518.02 is: 227,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,377.31 : 393,819.84 = 164,518.02 : x
  2. Step 2: Convert to fraction form
    285,377.31/393,819.84 = 164,518.02/x
  3. Step 3: Cross multiply
    285,377.31x = 393,819.84 × 164,518.02
  4. Step 4: Simplify right side
    285,377.31x = 64,790,460,313.52
  5. Step 5: Solve for x
    x = 64,790,460,313.52/285,377.31
  6. Step 6: Final answer
    x = 227,034.38

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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.