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Finding the Fourth Proportional to 285,134.73, 393,573.56 and 164,356.74

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Solution

The fourth proportional to 285,134.73, 393,573.56 and 164,356.74 is: 226,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,134.73 : 393,573.56 = 164,356.74 : x
  2. Step 2: Convert to fraction form
    285,134.73/393,573.56 = 164,356.74/x
  3. Step 3: Cross multiply
    285,134.73x = 393,573.56 × 164,356.74
  4. Step 4: Simplify right side
    285,134.73x = 64,686,466,450.01
  5. Step 5: Solve for x
    x = 64,686,466,450.01/285,134.73
  6. Step 6: Final answer
    x = 226,862.82

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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.