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Finding the Fourth Proportional to 285,706.16, 428,183.19 and 159,405.83

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Solution

The fourth proportional to 285,706.16, 428,183.19 and 159,405.83 is: 238,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,706.16 : 428,183.19 = 159,405.83 : x
  2. Step 2: Convert to fraction form
    285,706.16/428,183.19 = 159,405.83/x
  3. Step 3: Cross multiply
    285,706.16x = 428,183.19 × 159,405.83
  4. Step 4: Simplify right side
    285,706.16x = 68,254,894,653.08
  5. Step 5: Solve for x
    x = 68,254,894,653.08/285,706.16
  6. Step 6: Final answer
    x = 238,898.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.