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Finding the Fourth Proportional to 285,209.91, 393,611.53 and 162,704.98

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Solution

The fourth proportional to 285,209.91, 393,611.53 and 162,704.98 is: 224,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,209.91 : 393,611.53 = 162,704.98 : x
  2. Step 2: Convert to fraction form
    285,209.91/393,611.53 = 162,704.98/x
  3. Step 3: Cross multiply
    285,209.91x = 393,611.53 × 162,704.98
  4. Step 4: Simplify right side
    285,209.91x = 64,042,556,116.42
  5. Step 5: Solve for x
    x = 64,042,556,116.42/285,209.91
  6. Step 6: Final answer
    x = 224,545.34

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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.