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Finding the Fourth Proportional to 285,222.84, 393,653.34 and 217,131

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Solution

The fourth proportional to 285,222.84, 393,653.34 and 217,131 is: 299,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,222.84 : 393,653.34 = 217,131 : x
  2. Step 2: Convert to fraction form
    285,222.84/393,653.34 = 217,131/x
  3. Step 3: Cross multiply
    285,222.84x = 393,653.34 × 217,131
  4. Step 4: Simplify right side
    285,222.84x = 85,474,343,367.54
  5. Step 5: Solve for x
    x = 85,474,343,367.54/285,222.84
  6. Step 6: Final answer
    x = 299,675.66

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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.