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Finding the Fourth Proportional to 285,362.28, 393,710.67 and 164,487.06

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Solution

The fourth proportional to 285,362.28, 393,710.67 and 164,487.06 is: 226,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,362.28 : 393,710.67 = 164,487.06 : x
  2. Step 2: Convert to fraction form
    285,362.28/393,710.67 = 164,487.06/x
  3. Step 3: Cross multiply
    285,362.28x = 393,710.67 × 164,487.06
  4. Step 4: Simplify right side
    285,362.28x = 64,760,310,598.93
  5. Step 5: Solve for x
    x = 64,760,310,598.93/285,362.28
  6. Step 6: Final answer
    x = 226,940.68

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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.