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Finding the Fourth Proportional to 418,879.67, 628,106.27 and 205,663.58

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Solution

The fourth proportional to 418,879.67, 628,106.27 and 205,663.58 is: 308,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,879.67 : 628,106.27 = 205,663.58 : x
  2. Step 2: Convert to fraction form
    418,879.67/628,106.27 = 205,663.58/x
  3. Step 3: Cross multiply
    418,879.67x = 628,106.27 × 205,663.58
  4. Step 4: Simplify right side
    418,879.67x = 129,178,579,939.80
  5. Step 5: Solve for x
    x = 129,178,579,939.80/418,879.67
  6. Step 6: Final answer
    x = 308,390.67

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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.