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Finding the Fourth Proportional to 313,376,315.20, 439,180,337.60 and 313,376,315.20

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Solution

The fourth proportional to 313,376,315.20, 439,180,337.60 and 313,376,315.20 is: 439,180,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,376,315.20 : 439,180,337.60 = 313,376,315.20 : x
  2. Step 2: Convert to fraction form
    313,376,315.20/439,180,337.60 = 313,376,315.20/x
  3. Step 3: Cross multiply
    313,376,315.20x = 439,180,337.60 × 313,376,315.20
  4. Step 4: Simplify right side
    313,376,315.20x = 137,628,715,905,380,016
  5. Step 5: Solve for x
    x = 137,628,715,905,380,016/313,376,315.20
  6. Step 6: Final answer
    x = 439,180,337.60

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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.