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Finding the Fourth Proportional to 398,486.80, 598,421.40 and 211,862.80

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Solution

The fourth proportional to 398,486.80, 598,421.40 and 211,862.80 is: 318,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,486.80 : 598,421.40 = 211,862.80 : x
  2. Step 2: Convert to fraction form
    398,486.80/598,421.40 = 211,862.80/x
  3. Step 3: Cross multiply
    398,486.80x = 598,421.40 × 211,862.80
  4. Step 4: Simplify right side
    398,486.80x = 126,783,233,383.92
  5. Step 5: Solve for x
    x = 126,783,233,383.92/398,486.80
  6. Step 6: Final answer
    x = 318,161.69

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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.