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Finding the Fourth Proportional to 315,185.25, 470,319.57 and 281,217.80

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Solution

The fourth proportional to 315,185.25, 470,319.57 and 281,217.80 is: 419,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,185.25 : 470,319.57 = 281,217.80 : x
  2. Step 2: Convert to fraction form
    315,185.25/470,319.57 = 281,217.80/x
  3. Step 3: Cross multiply
    315,185.25x = 470,319.57 × 281,217.80
  4. Step 4: Simplify right side
    315,185.25x = 132,262,231,014.66
  5. Step 5: Solve for x
    x = 132,262,231,014.66/315,185.25
  6. Step 6: Final answer
    x = 419,633.32

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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.