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Finding the Fourth Proportional to 298,515.10, 412,224.48 and 189,654.60

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Solution

The fourth proportional to 298,515.10, 412,224.48 and 189,654.60 is: 261,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,515.10 : 412,224.48 = 189,654.60 : x
  2. Step 2: Convert to fraction form
    298,515.10/412,224.48 = 189,654.60/x
  3. Step 3: Cross multiply
    298,515.10x = 412,224.48 × 189,654.60
  4. Step 4: Simplify right side
    298,515.10x = 78,180,268,864.61
  5. Step 5: Solve for x
    x = 78,180,268,864.61/298,515.10
  6. Step 6: Final answer
    x = 261,897.20

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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.