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Finding the Fourth Proportional to 312,914,008.80, 469,433,998.80 and 262,147,615.20

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Solution

The fourth proportional to 312,914,008.80, 469,433,998.80 and 262,147,615.20 is: 393,274,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,914,008.80 : 469,433,998.80 = 262,147,615.20 : x
  2. Step 2: Convert to fraction form
    312,914,008.80/469,433,998.80 = 262,147,615.20/x
  3. Step 3: Cross multiply
    312,914,008.80x = 469,433,998.80 × 262,147,615.20
  4. Step 4: Simplify right side
    312,914,008.80x = 123,061,003,279,219,664
  5. Step 5: Solve for x
    x = 123,061,003,279,219,664/312,914,008.80
  6. Step 6: Final answer
    x = 393,274,189.77

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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.