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Finding the Fourth Proportional to 3,986,006,502.80, 5,978,978,261.40 and 1,038,280,422.80

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Solution

The fourth proportional to 3,986,006,502.80, 5,978,978,261.40 and 1,038,280,422.80 is: 1,557,412,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,006,502.80 : 5,978,978,261.40 = 1,038,280,422.80 : x
  2. Step 2: Convert to fraction form
    3,986,006,502.80/5,978,978,261.40 = 1,038,280,422.80/x
  3. Step 3: Cross multiply
    3,986,006,502.80x = 5,978,978,261.40 × 1,038,280,422.80
  4. Step 4: Simplify right side
    3,986,006,502.80x = 6,207,856,077,158,400,000
  5. Step 5: Solve for x
    x = 6,207,856,077,158,400,000/3,986,006,502.80
  6. Step 6: Final answer
    x = 1,557,412,430.91

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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.