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Finding the Fourth Proportional to 815,642,071.80, 1,223,463,107.70 and 734,012,734.20

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Solution

The fourth proportional to 815,642,071.80, 1,223,463,107.70 and 734,012,734.20 is: 1,101,019,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,642,071.80 : 1,223,463,107.70 = 734,012,734.20 : x
  2. Step 2: Convert to fraction form
    815,642,071.80/1,223,463,107.70 = 734,012,734.20/x
  3. Step 3: Cross multiply
    815,642,071.80x = 1,223,463,107.70 × 734,012,734.20
  4. Step 4: Simplify right side
    815,642,071.80x = 898,037,500,875,706,112
  5. Step 5: Solve for x
    x = 898,037,500,875,706,112/815,642,071.80
  6. Step 6: Final answer
    x = 1,101,019,101.30

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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.