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Finding the Fourth Proportional to 262,805.78, 394,457.70 and 162,663.02

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Solution

The fourth proportional to 262,805.78, 394,457.70 and 162,663.02 is: 244,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,805.78 : 394,457.70 = 162,663.02 : x
  2. Step 2: Convert to fraction form
    262,805.78/394,457.70 = 162,663.02/x
  3. Step 3: Cross multiply
    262,805.78x = 394,457.70 × 162,663.02
  4. Step 4: Simplify right side
    262,805.78x = 64,163,680,744.25
  5. Step 5: Solve for x
    x = 64,163,680,744.25/262,805.78
  6. Step 6: Final answer
    x = 244,148.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.