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Finding the Fourth Proportional to 664,395,004.80, 996,293,908.80 and 255,315,196.80

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Solution

The fourth proportional to 664,395,004.80, 996,293,908.80 and 255,315,196.80 is: 382,858,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,395,004.80 : 996,293,908.80 = 255,315,196.80 : x
  2. Step 2: Convert to fraction form
    664,395,004.80/996,293,908.80 = 255,315,196.80/x
  3. Step 3: Cross multiply
    664,395,004.80x = 996,293,908.80 × 255,315,196.80
  4. Step 4: Simplify right side
    664,395,004.80x = 254,368,975,395,913,248
  5. Step 5: Solve for x
    x = 254,368,975,395,913,248/664,395,004.80
  6. Step 6: Final answer
    x = 382,858,049.14

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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.