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Finding the Fourth Proportional to 297,988.84, 411,221.71 and 162,022.80

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Solution

The fourth proportional to 297,988.84, 411,221.71 and 162,022.80 is: 223,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,988.84 : 411,221.71 = 162,022.80 : x
  2. Step 2: Convert to fraction form
    297,988.84/411,221.71 = 162,022.80/x
  3. Step 3: Cross multiply
    297,988.84x = 411,221.71 × 162,022.80
  4. Step 4: Simplify right side
    297,988.84x = 66,627,292,306.48
  5. Step 5: Solve for x
    x = 66,627,292,306.48/297,988.84
  6. Step 6: Final answer
    x = 223,589.89

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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.