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Finding the Fourth Proportional to 323,712,375.20, 485,568,562.80 and 286,298,928.80

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Solution

The fourth proportional to 323,712,375.20, 485,568,562.80 and 286,298,928.80 is: 429,448,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,712,375.20 : 485,568,562.80 = 286,298,928.80 : x
  2. Step 2: Convert to fraction form
    323,712,375.20/485,568,562.80 = 286,298,928.80/x
  3. Step 3: Cross multiply
    323,712,375.20x = 485,568,562.80 × 286,298,928.80
  4. Step 4: Simplify right side
    323,712,375.20x = 139,017,759,388,595,536
  5. Step 5: Solve for x
    x = 139,017,759,388,595,536/323,712,375.20
  6. Step 6: Final answer
    x = 429,448,393.20

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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.