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Finding the Fourth Proportional to 512,489,390.51, 769,960,464.24 and 328,617,114.01

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Solution

The fourth proportional to 512,489,390.51, 769,960,464.24 and 328,617,114.01 is: 493,712,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,489,390.51 : 769,960,464.24 = 328,617,114.01 : x
  2. Step 2: Convert to fraction form
    512,489,390.51/769,960,464.24 = 328,617,114.01/x
  3. Step 3: Cross multiply
    512,489,390.51x = 769,960,464.24 × 328,617,114.01
  4. Step 4: Simplify right side
    512,489,390.51x = 253,022,185,659,656,000
  5. Step 5: Solve for x
    x = 253,022,185,659,656,000/512,489,390.51
  6. Step 6: Final answer
    x = 493,712,046.23

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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.