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Finding the Fourth Proportional to 213,120,205.20, 319,680,307.80 and 213,120,205.20

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Solution

The fourth proportional to 213,120,205.20, 319,680,307.80 and 213,120,205.20 is: 319,680,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,120,205.20 : 319,680,307.80 = 213,120,205.20 : x
  2. Step 2: Convert to fraction form
    213,120,205.20/319,680,307.80 = 213,120,205.20/x
  3. Step 3: Cross multiply
    213,120,205.20x = 319,680,307.80 × 213,120,205.20
  4. Step 4: Simplify right side
    213,120,205.20x = 68,130,332,796,735,160
  5. Step 5: Solve for x
    x = 68,130,332,796,735,160/213,120,205.20
  6. Step 6: Final answer
    x = 319,680,307.80

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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.