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Finding the Fourth Proportional to 493,160.49, 680,522.72 and 302,147.91

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Solution

The fourth proportional to 493,160.49, 680,522.72 and 302,147.91 is: 416,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,160.49 : 680,522.72 = 302,147.91 : x
  2. Step 2: Convert to fraction form
    493,160.49/680,522.72 = 302,147.91/x
  3. Step 3: Cross multiply
    493,160.49x = 680,522.72 × 302,147.91
  4. Step 4: Simplify right side
    493,160.49x = 205,618,516,044.78
  5. Step 5: Solve for x
    x = 205,618,516,044.78/493,160.49
  6. Step 6: Final answer
    x = 416,940.37

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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.