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Finding the Fourth Proportional to 213,788,803.20, 320,683,204.80 and 213,788,803.20

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Solution

The fourth proportional to 213,788,803.20, 320,683,204.80 and 213,788,803.20 is: 320,683,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,788,803.20 : 320,683,204.80 = 213,788,803.20 : x
  2. Step 2: Convert to fraction form
    213,788,803.20/320,683,204.80 = 213,788,803.20/x
  3. Step 3: Cross multiply
    213,788,803.20x = 320,683,204.80 × 213,788,803.20
  4. Step 4: Simplify right side
    213,788,803.20x = 68,558,478,560,532,496
  5. Step 5: Solve for x
    x = 68,558,478,560,532,496/213,788,803.20
  6. Step 6: Final answer
    x = 320,683,204.80

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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.