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Finding the Fourth Proportional to 672,605,189.40, 1,008,907,784.10 and 412,978,546.20

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Solution

The fourth proportional to 672,605,189.40, 1,008,907,784.10 and 412,978,546.20 is: 619,467,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,605,189.40 : 1,008,907,784.10 = 412,978,546.20 : x
  2. Step 2: Convert to fraction form
    672,605,189.40/1,008,907,784.10 = 412,978,546.20/x
  3. Step 3: Cross multiply
    672,605,189.40x = 1,008,907,784.10 × 412,978,546.20
  4. Step 4: Simplify right side
    672,605,189.40x = 416,657,269,927,481,472
  5. Step 5: Solve for x
    x = 416,657,269,927,481,472/672,605,189.40
  6. Step 6: Final answer
    x = 619,467,819.30

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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.