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Finding the Fourth Proportional to 356,339,813.20, 534,509,719.80 and 313,257,662.80

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Solution

The fourth proportional to 356,339,813.20, 534,509,719.80 and 313,257,662.80 is: 469,886,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,339,813.20 : 534,509,719.80 = 313,257,662.80 : x
  2. Step 2: Convert to fraction form
    356,339,813.20/534,509,719.80 = 313,257,662.80/x
  3. Step 3: Cross multiply
    356,339,813.20x = 534,509,719.80 × 313,257,662.80
  4. Step 4: Simplify right side
    356,339,813.20x = 167,439,265,568,430,880
  5. Step 5: Solve for x
    x = 167,439,265,568,430,880/356,339,813.20
  6. Step 6: Final answer
    x = 469,886,494.20

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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.