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Finding the Fourth Proportional to 285,399.40, 393,762.52 and 164,525.28

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Solution

The fourth proportional to 285,399.40, 393,762.52 and 164,525.28 is: 226,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,399.40 : 393,762.52 = 164,525.28 : x
  2. Step 2: Convert to fraction form
    285,399.40/393,762.52 = 164,525.28/x
  3. Step 3: Cross multiply
    285,399.40x = 393,762.52 × 164,525.28
  4. Step 4: Simplify right side
    285,399.40x = 64,783,886,660.10
  5. Step 5: Solve for x
    x = 64,783,886,660.10/285,399.40
  6. Step 6: Final answer
    x = 226,993.77

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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.