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Finding the Fourth Proportional to 298,528.38, 411,955.38 and 162,561.78

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Solution

The fourth proportional to 298,528.38, 411,955.38 and 162,561.78 is: 224,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,528.38 : 411,955.38 = 162,561.78 : x
  2. Step 2: Convert to fraction form
    298,528.38/411,955.38 = 162,561.78/x
  3. Step 3: Cross multiply
    298,528.38x = 411,955.38 × 162,561.78
  4. Step 4: Simplify right side
    298,528.38x = 66,968,199,853.38
  5. Step 5: Solve for x
    x = 66,968,199,853.38/298,528.38
  6. Step 6: Final answer
    x = 224,327.75

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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.