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Finding the Fourth Proportional to 298,378.28, 411,770.69 and 162,421.00

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Solution

The fourth proportional to 298,378.28, 411,770.69 and 162,421.00 is: 224,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378.28 : 411,770.69 = 162,421.00 : x
  2. Step 2: Convert to fraction form
    298,378.28/411,770.69 = 162,421.00/x
  3. Step 3: Cross multiply
    298,378.28x = 411,770.69 × 162,421.00
  4. Step 4: Simplify right side
    298,378.28x = 66,880,206,008.04
  5. Step 5: Solve for x
    x = 66,880,206,008.04/298,378.28
  6. Step 6: Final answer
    x = 224,145.69

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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.