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Finding the Fourth Proportional to 402,668.28, 603,458.10 and 177,990.48

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Solution

The fourth proportional to 402,668.28, 603,458.10 and 177,990.48 is: 266,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,668.28 : 603,458.10 = 177,990.48 : x
  2. Step 2: Convert to fraction form
    402,668.28/603,458.10 = 177,990.48/x
  3. Step 3: Cross multiply
    402,668.28x = 603,458.10 × 177,990.48
  4. Step 4: Simplify right side
    402,668.28x = 107,409,796,878.89
  5. Step 5: Solve for x
    x = 107,409,796,878.89/402,668.28
  6. Step 6: Final answer
    x = 266,745.12

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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.