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Finding the Fourth Proportional to 312,136.73, 430,747.30 and 168,899.30

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Solution

The fourth proportional to 312,136.73, 430,747.30 and 168,899.30 is: 233,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,136.73 : 430,747.30 = 168,899.30 : x
  2. Step 2: Convert to fraction form
    312,136.73/430,747.30 = 168,899.30/x
  3. Step 3: Cross multiply
    312,136.73x = 430,747.30 × 168,899.30
  4. Step 4: Simplify right side
    312,136.73x = 72,752,917,446.89
  5. Step 5: Solve for x
    x = 72,752,917,446.89/312,136.73
  6. Step 6: Final answer
    x = 233,080.28

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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.