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Finding the Fourth Proportional to 940,308,908.80, 1,409,086,492.80 and 843,264,428.80

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Solution

The fourth proportional to 940,308,908.80, 1,409,086,492.80 and 843,264,428.80 is: 1,263,661,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,308,908.80 : 1,409,086,492.80 = 843,264,428.80 : x
  2. Step 2: Convert to fraction form
    940,308,908.80/1,409,086,492.80 = 843,264,428.80/x
  3. Step 3: Cross multiply
    940,308,908.80x = 1,409,086,492.80 × 843,264,428.80
  4. Step 4: Simplify right side
    940,308,908.80x = 1,188,232,516,480,787,200
  5. Step 5: Solve for x
    x = 1,188,232,516,480,787,200/940,308,908.80
  6. Step 6: Final answer
    x = 1,263,661,872.56

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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.