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Finding the Fourth Proportional to 434,538, 651,777.84 and 118,997.64

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Solution

The fourth proportional to 434,538, 651,777.84 and 118,997.64 is: 178,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,538 : 651,777.84 = 118,997.64 : x
  2. Step 2: Convert to fraction form
    434,538/651,777.84 = 118,997.64/x
  3. Step 3: Cross multiply
    434,538x = 651,777.84 × 118,997.64
  4. Step 4: Simplify right side
    434,538x = 77,560,024,764.30
  5. Step 5: Solve for x
    x = 77,560,024,764.30/434,538
  6. Step 6: Final answer
    x = 178,488.47

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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.