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Finding the Fourth Proportional to 976,652,146.40, 1,464,978,219.60 and 792,986,136.80

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Solution

The fourth proportional to 976,652,146.40, 1,464,978,219.60 and 792,986,136.80 is: 1,189,479,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,652,146.40 : 1,464,978,219.60 = 792,986,136.80 : x
  2. Step 2: Convert to fraction form
    976,652,146.40/1,464,978,219.60 = 792,986,136.80/x
  3. Step 3: Cross multiply
    976,652,146.40x = 1,464,978,219.60 × 792,986,136.80
  4. Step 4: Simplify right side
    976,652,146.40x = 1,161,707,418,856,745,984
  5. Step 5: Solve for x
    x = 1,161,707,418,856,745,984/976,652,146.40
  6. Step 6: Final answer
    x = 1,189,479,205.20

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1.5x scale

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.