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Finding the Fourth Proportional to 285,352.47, 393,785.64 and 164,493.09

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Solution

The fourth proportional to 285,352.47, 393,785.64 and 164,493.09 is: 227,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,352.47 : 393,785.64 = 164,493.09 : x
  2. Step 2: Convert to fraction form
    285,352.47/393,785.64 = 164,493.09/x
  3. Step 3: Cross multiply
    285,352.47x = 393,785.64 × 164,493.09
  4. Step 4: Simplify right side
    285,352.47x = 64,775,016,721.23
  5. Step 5: Solve for x
    x = 64,775,016,721.23/285,352.47
  6. Step 6: Final answer
    x = 227,000.02

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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.