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Finding the Fourth Proportional to 512,489,391.51, 769,960,465.75 and 328,617,115.01

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Solution

The fourth proportional to 512,489,391.51, 769,960,465.75 and 328,617,115.01 is: 493,712,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,489,391.51 : 769,960,465.75 = 328,617,115.01 : x
  2. Step 2: Convert to fraction form
    512,489,391.51/769,960,465.75 = 328,617,115.01/x
  3. Step 3: Cross multiply
    512,489,391.51x = 769,960,465.75 × 328,617,115.01
  4. Step 4: Simplify right side
    512,489,391.51x = 253,022,186,926,520,896
  5. Step 5: Solve for x
    x = 253,022,186,926,520,896/512,489,391.51
  6. Step 6: Final answer
    x = 493,712,047.74

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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.