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Finding the Fourth Proportional to 315,170.77, 470,297.98 and 281,203.27

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Solution

The fourth proportional to 315,170.77, 470,297.98 and 281,203.27 is: 419,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,170.77 : 470,297.98 = 281,203.27 : x
  2. Step 2: Convert to fraction form
    315,170.77/470,297.98 = 281,203.27/x
  3. Step 3: Cross multiply
    315,170.77x = 470,297.98 × 281,203.27
  4. Step 4: Simplify right side
    315,170.77x = 132,249,326,092.89
  5. Step 5: Solve for x
    x = 132,249,326,092.89/315,170.77
  6. Step 6: Final answer
    x = 419,611.65

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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.