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Finding the Fourth Proportional to 534,930.60, 802,136.70 and 298,021.80

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Solution

The fourth proportional to 534,930.60, 802,136.70 and 298,021.80 is: 446,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,930.60 : 802,136.70 = 298,021.80 : x
  2. Step 2: Convert to fraction form
    534,930.60/802,136.70 = 298,021.80/x
  3. Step 3: Cross multiply
    534,930.60x = 802,136.70 × 298,021.80
  4. Step 4: Simplify right side
    534,930.60x = 239,054,223,180.06
  5. Step 5: Solve for x
    x = 239,054,223,180.06/534,930.60
  6. Step 6: Final answer
    x = 446,888.29

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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.