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Finding the Fourth Proportional to 815,401,815.20, 1,144,787,404 and 815,401,815.20

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Solution

The fourth proportional to 815,401,815.20, 1,144,787,404 and 815,401,815.20 is: 1,144,787,404

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,401,815.20 : 1,144,787,404 = 815,401,815.20 : x
  2. Step 2: Convert to fraction form
    815,401,815.20/1,144,787,404 = 815,401,815.20/x
  3. Step 3: Cross multiply
    815,401,815.20x = 1,144,787,404 × 815,401,815.20
  4. Step 4: Simplify right side
    815,401,815.20x = 933,461,727,239,695,744
  5. Step 5: Solve for x
    x = 933,461,727,239,695,744/815,401,815.20
  6. Step 6: Final answer
    x = 1,144,787,404

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.