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Finding the Fourth Proportional to 315,186.25, 470,321.06 and 281,218.80

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Solution

The fourth proportional to 315,186.25, 470,321.06 and 281,218.80 is: 419,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186.25 : 470,321.06 = 281,218.80 : x
  2. Step 2: Convert to fraction form
    315,186.25/470,321.06 = 281,218.80/x
  3. Step 3: Cross multiply
    315,186.25x = 470,321.06 × 281,218.80
  4. Step 4: Simplify right side
    315,186.25x = 132,263,124,107.93
  5. Step 5: Solve for x
    x = 132,263,124,107.93/315,186.25
  6. Step 6: Final answer
    x = 419,634.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.