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Finding the Fourth Proportional to 285,205.73, 393,584.03 and 156,152.57

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Solution

The fourth proportional to 285,205.73, 393,584.03 and 156,152.57 is: 215,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,205.73 : 393,584.03 = 156,152.57 : x
  2. Step 2: Convert to fraction form
    285,205.73/393,584.03 = 156,152.57/x
  3. Step 3: Cross multiply
    285,205.73x = 393,584.03 × 156,152.57
  4. Step 4: Simplify right side
    285,205.73x = 61,459,157,998.65
  5. Step 5: Solve for x
    x = 61,459,157,998.65/285,205.73
  6. Step 6: Final answer
    x = 215,490.61

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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.