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Finding the Fourth Proportional to 303,221.60, 454,832.40 and 208,743.20

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Solution

The fourth proportional to 303,221.60, 454,832.40 and 208,743.20 is: 313,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,221.60 : 454,832.40 = 208,743.20 : x
  2. Step 2: Convert to fraction form
    303,221.60/454,832.40 = 208,743.20/x
  3. Step 3: Cross multiply
    303,221.60x = 454,832.40 × 208,743.20
  4. Step 4: Simplify right side
    303,221.60x = 94,943,170,639.68
  5. Step 5: Solve for x
    x = 94,943,170,639.68/303,221.60
  6. Step 6: Final answer
    x = 313,114.80

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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.