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Finding the Fourth Proportional to 285,564.08, 394,071.72 and 164,705.60

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Solution

The fourth proportional to 285,564.08, 394,071.72 and 164,705.60 is: 227,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564.08 : 394,071.72 = 164,705.60 : x
  2. Step 2: Convert to fraction form
    285,564.08/394,071.72 = 164,705.60/x
  3. Step 3: Cross multiply
    285,564.08x = 394,071.72 × 164,705.60
  4. Step 4: Simplify right side
    285,564.08x = 64,905,819,085.63
  5. Step 5: Solve for x
    x = 64,905,819,085.63/285,564.08
  6. Step 6: Final answer
    x = 227,289.86

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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.