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Finding the Fourth Proportional to 298,272.78, 411,608.16 and 162,303.57

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Solution

The fourth proportional to 298,272.78, 411,608.16 and 162,303.57 is: 223,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,272.78 : 411,608.16 = 162,303.57 : x
  2. Step 2: Convert to fraction form
    298,272.78/411,608.16 = 162,303.57/x
  3. Step 3: Cross multiply
    298,272.78x = 411,608.16 × 162,303.57
  4. Step 4: Simplify right side
    298,272.78x = 66,805,474,510.30
  5. Step 5: Solve for x
    x = 66,805,474,510.30/298,272.78
  6. Step 6: Final answer
    x = 223,974.43

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1.5x scale

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.