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Finding the Fourth Proportional to 320,761,538.40, 481,142,307.60 and 320,761,538.40

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Solution

The fourth proportional to 320,761,538.40, 481,142,307.60 and 320,761,538.40 is: 481,142,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,761,538.40 : 481,142,307.60 = 320,761,538.40 : x
  2. Step 2: Convert to fraction form
    320,761,538.40/481,142,307.60 = 320,761,538.40/x
  3. Step 3: Cross multiply
    320,761,538.40x = 481,142,307.60 × 320,761,538.40
  4. Step 4: Simplify right side
    320,761,538.40x = 154,331,946,775,102,016
  5. Step 5: Solve for x
    x = 154,331,946,775,102,016/320,761,538.40
  6. Step 6: Final answer
    x = 481,142,307.60

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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.