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Finding the Fourth Proportional to 470,643,463.80, 705,965,195.70 and 449,480,302.20

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Solution

The fourth proportional to 470,643,463.80, 705,965,195.70 and 449,480,302.20 is: 674,220,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,643,463.80 : 705,965,195.70 = 449,480,302.20 : x
  2. Step 2: Convert to fraction form
    470,643,463.80/705,965,195.70 = 449,480,302.20/x
  3. Step 3: Cross multiply
    470,643,463.80x = 705,965,195.70 × 449,480,302.20
  4. Step 4: Simplify right side
    470,643,463.80x = 317,317,449,505,918,144
  5. Step 5: Solve for x
    x = 317,317,449,505,918,144/470,643,463.80
  6. Step 6: Final answer
    x = 674,220,453.30

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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.