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Finding the Fourth Proportional to 213,643.20, 320,378.40 and 73,329.60

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Solution

The fourth proportional to 213,643.20, 320,378.40 and 73,329.60 is: 109,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,643.20 : 320,378.40 = 73,329.60 : x
  2. Step 2: Convert to fraction form
    213,643.20/320,378.40 = 73,329.60/x
  3. Step 3: Cross multiply
    213,643.20x = 320,378.40 × 73,329.60
  4. Step 4: Simplify right side
    213,643.20x = 23,493,219,920.64
  5. Step 5: Solve for x
    x = 23,493,219,920.64/213,643.20
  6. Step 6: Final answer
    x = 109,964.74

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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.