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Finding the Fourth Proportional to 1,288,324,978.78, 1,935,396,535.46 and 764,037,955.70

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Solution

The fourth proportional to 1,288,324,978.78, 1,935,396,535.46 and 764,037,955.70 is: 1,147,782,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,324,978.78 : 1,935,396,535.46 = 764,037,955.70 : x
  2. Step 2: Convert to fraction form
    1,288,324,978.78/1,935,396,535.46 = 764,037,955.70/x
  3. Step 3: Cross multiply
    1,288,324,978.78x = 1,935,396,535.46 × 764,037,955.70
  4. Step 4: Simplify right side
    1,288,324,978.78x = 1,478,716,412,421,721,088
  5. Step 5: Solve for x
    x = 1,478,716,412,421,721,088/1,288,324,978.78
  6. Step 6: Final answer
    x = 1,147,782,148.74

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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.