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Finding the Fourth Proportional to 402,147.55, 603,221.05 and 102,628.23

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Solution

The fourth proportional to 402,147.55, 603,221.05 and 102,628.23 is: 153,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,147.55 : 603,221.05 = 102,628.23 : x
  2. Step 2: Convert to fraction form
    402,147.55/603,221.05 = 102,628.23/x
  3. Step 3: Cross multiply
    402,147.55x = 603,221.05 × 102,628.23
  4. Step 4: Simplify right side
    402,147.55x = 61,907,508,660.24
  5. Step 5: Solve for x
    x = 61,907,508,660.24/402,147.55
  6. Step 6: Final answer
    x = 153,942.27

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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.