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Finding the Fourth Proportional to 1,008,307,339.20, 1,512,461,008.80 and 863,188,516.80

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Solution

The fourth proportional to 1,008,307,339.20, 1,512,461,008.80 and 863,188,516.80 is: 1,294,782,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,307,339.20 : 1,512,461,008.80 = 863,188,516.80 : x
  2. Step 2: Convert to fraction form
    1,008,307,339.20/1,512,461,008.80 = 863,188,516.80/x
  3. Step 3: Cross multiply
    1,008,307,339.20x = 1,512,461,008.80 × 863,188,516.80
  4. Step 4: Simplify right side
    1,008,307,339.20x = 1,305,538,974,903,903,744
  5. Step 5: Solve for x
    x = 1,305,538,974,903,903,744/1,008,307,339.20
  6. Step 6: Final answer
    x = 1,294,782,775.20

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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.