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Finding the Fourth Proportional to 285,391.88, 393,836.82 and 164,533.40

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Solution

The fourth proportional to 285,391.88, 393,836.82 and 164,533.40 is: 227,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,391.88 : 393,836.82 = 164,533.40 : x
  2. Step 2: Convert to fraction form
    285,391.88/393,836.82 = 164,533.40/x
  3. Step 3: Cross multiply
    285,391.88x = 393,836.82 × 164,533.40
  4. Step 4: Simplify right side
    285,391.88x = 64,799,311,039.79
  5. Step 5: Solve for x
    x = 64,799,311,039.79/285,391.88
  6. Step 6: Final answer
    x = 227,053.80

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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.