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Finding the Fourth Proportional to 978,782,857.20, 1,468,977,352.20 and 971,130,106.80

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Solution

The fourth proportional to 978,782,857.20, 1,468,977,352.20 and 971,130,106.80 is: 1,457,491,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,782,857.20 : 1,468,977,352.20 = 971,130,106.80 : x
  2. Step 2: Convert to fraction form
    978,782,857.20/1,468,977,352.20 = 971,130,106.80/x
  3. Step 3: Cross multiply
    978,782,857.20x = 1,468,977,352.20 × 971,130,106.80
  4. Step 4: Simplify right side
    978,782,857.20x = 1,426,568,132,928,767,232
  5. Step 5: Solve for x
    x = 1,426,568,132,928,767,232/978,782,857.20
  6. Step 6: Final answer
    x = 1,457,491,947.71

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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.