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Finding the Fourth Proportional to 409,709,027.20, 614,563,540.80 and 179,788,259.20

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Solution

The fourth proportional to 409,709,027.20, 614,563,540.80 and 179,788,259.20 is: 269,682,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,709,027.20 : 614,563,540.80 = 179,788,259.20 : x
  2. Step 2: Convert to fraction form
    409,709,027.20/614,563,540.80 = 179,788,259.20/x
  3. Step 3: Cross multiply
    409,709,027.20x = 614,563,540.80 × 179,788,259.20
  4. Step 4: Simplify right side
    409,709,027.20x = 110,491,309,168,220,160
  5. Step 5: Solve for x
    x = 110,491,309,168,220,160/409,709,027.20
  6. Step 6: Final answer
    x = 269,682,388.80

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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.