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Finding the Fourth Proportional to 298,899.86, 412,476.99 and 162,939.20

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Solution

The fourth proportional to 298,899.86, 412,476.99 and 162,939.20 is: 224,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,899.86 : 412,476.99 = 162,939.20 : x
  2. Step 2: Convert to fraction form
    298,899.86/412,476.99 = 162,939.20/x
  3. Step 3: Cross multiply
    298,899.86x = 412,476.99 × 162,939.20
  4. Step 4: Simplify right side
    298,899.86x = 67,208,670,769.01
  5. Step 5: Solve for x
    x = 67,208,670,769.01/298,899.86
  6. Step 6: Final answer
    x = 224,853.47

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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.