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Finding the Fourth Proportional to 213,181,213.80, 319,771,820.70 and 213,181,213.80

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Solution

The fourth proportional to 213,181,213.80, 319,771,820.70 and 213,181,213.80 is: 319,771,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,181,213.80 : 319,771,820.70 = 213,181,213.80 : x
  2. Step 2: Convert to fraction form
    213,181,213.80/319,771,820.70 = 213,181,213.80/x
  3. Step 3: Cross multiply
    213,181,213.80x = 319,771,820.70 × 213,181,213.80
  4. Step 4: Simplify right side
    213,181,213.80x = 68,169,344,875,861,968
  5. Step 5: Solve for x
    x = 68,169,344,875,861,968/213,181,213.80
  6. Step 6: Final answer
    x = 319,771,820.70

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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.