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Finding the Fourth Proportional to 275,008,477.80, 412,512,716.70 and 210,438,396.30

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Solution

The fourth proportional to 275,008,477.80, 412,512,716.70 and 210,438,396.30 is: 315,657,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,008,477.80 : 412,512,716.70 = 210,438,396.30 : x
  2. Step 2: Convert to fraction form
    275,008,477.80/412,512,716.70 = 210,438,396.30/x
  3. Step 3: Cross multiply
    275,008,477.80x = 412,512,716.70 × 210,438,396.30
  4. Step 4: Simplify right side
    275,008,477.80x = 86,808,514,555,704,224
  5. Step 5: Solve for x
    x = 86,808,514,555,704,224/275,008,477.80
  6. Step 6: Final answer
    x = 315,657,594.45

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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.