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Finding the Fourth Proportional to 299,483,287.20, 449,224,930.80 and 146,428,279.20

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Solution

The fourth proportional to 299,483,287.20, 449,224,930.80 and 146,428,279.20 is: 219,642,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,483,287.20 : 449,224,930.80 = 146,428,279.20 : x
  2. Step 2: Convert to fraction form
    299,483,287.20/449,224,930.80 = 146,428,279.20/x
  3. Step 3: Cross multiply
    299,483,287.20x = 449,224,930.80 × 146,428,279.20
  4. Step 4: Simplify right side
    299,483,287.20x = 65,779,233,590,783,072
  5. Step 5: Solve for x
    x = 65,779,233,590,783,072/299,483,287.20
  6. Step 6: Final answer
    x = 219,642,418.80

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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.