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Finding the Fourth Proportional to 312,182.62, 430,812.02 and 168,942.70

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Solution

The fourth proportional to 312,182.62, 430,812.02 and 168,942.70 is: 233,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,182.62 : 430,812.02 = 168,942.70 : x
  2. Step 2: Convert to fraction form
    312,182.62/430,812.02 = 168,942.70/x
  3. Step 3: Cross multiply
    312,182.62x = 430,812.02 × 168,942.70
  4. Step 4: Simplify right side
    312,182.62x = 72,782,545,851.25
  5. Step 5: Solve for x
    x = 72,782,545,851.25/312,182.62
  6. Step 6: Final answer
    x = 233,140.93

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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.