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Finding the Fourth Proportional to 298,465.56, 447,698.88 and 120,976.20

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Solution

The fourth proportional to 298,465.56, 447,698.88 and 120,976.20 is: 181,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,465.56 : 447,698.88 = 120,976.20 : x
  2. Step 2: Convert to fraction form
    298,465.56/447,698.88 = 120,976.20/x
  3. Step 3: Cross multiply
    298,465.56x = 447,698.88 × 120,976.20
  4. Step 4: Simplify right side
    298,465.56x = 54,160,909,246.66
  5. Step 5: Solve for x
    x = 54,160,909,246.66/298,465.56
  6. Step 6: Final answer
    x = 181,464.52

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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.