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Finding the Fourth Proportional to 198,697.80, 298,046.70 and 146,339.40

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Solution

The fourth proportional to 198,697.80, 298,046.70 and 146,339.40 is: 219,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,697.80 : 298,046.70 = 146,339.40 : x
  2. Step 2: Convert to fraction form
    198,697.80/298,046.70 = 146,339.40/x
  3. Step 3: Cross multiply
    198,697.80x = 298,046.70 × 146,339.40
  4. Step 4: Simplify right side
    198,697.80x = 43,615,975,249.98
  5. Step 5: Solve for x
    x = 43,615,975,249.98/198,697.80
  6. Step 6: Final answer
    x = 219,509.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.