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Finding the Fourth Proportional to 313,664,857.20, 439,584,296.40 and 313,664,857.20

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Solution

The fourth proportional to 313,664,857.20, 439,584,296.40 and 313,664,857.20 is: 439,584,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,664,857.20 : 439,584,296.40 = 313,664,857.20 : x
  2. Step 2: Convert to fraction form
    313,664,857.20/439,584,296.40 = 313,664,857.20/x
  3. Step 3: Cross multiply
    313,664,857.20x = 439,584,296.40 × 313,664,857.20
  4. Step 4: Simplify right side
    313,664,857.20x = 137,882,145,557,668,464
  5. Step 5: Solve for x
    x = 137,882,145,557,668,464/313,664,857.20
  6. Step 6: Final answer
    x = 439,584,296.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.