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Finding the Fourth Proportional to 315,096.42, 434,682.99 and 213,157.56

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Solution

The fourth proportional to 315,096.42, 434,682.99 and 213,157.56 is: 294,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.42 : 434,682.99 = 213,157.56 : x
  2. Step 2: Convert to fraction form
    315,096.42/434,682.99 = 213,157.56/x
  3. Step 3: Cross multiply
    315,096.42x = 434,682.99 × 213,157.56
  4. Step 4: Simplify right side
    315,096.42x = 92,655,965,521.90
  5. Step 5: Solve for x
    x = 92,655,965,521.90/315,096.42
  6. Step 6: Final answer
    x = 294,055.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.