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Finding the Fourth Proportional to 298,319.58, 447,464.79 and 111,316.50

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Solution

The fourth proportional to 298,319.58, 447,464.79 and 111,316.50 is: 166,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,319.58 : 447,464.79 = 111,316.50 : x
  2. Step 2: Convert to fraction form
    298,319.58/447,464.79 = 111,316.50/x
  3. Step 3: Cross multiply
    298,319.58x = 447,464.79 × 111,316.50
  4. Step 4: Simplify right side
    298,319.58x = 49,810,214,296.04
  5. Step 5: Solve for x
    x = 49,810,214,296.04/298,319.58
  6. Step 6: Final answer
    x = 166,969.31

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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.