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Finding the Fourth Proportional to 509,494.98, 764,182.13 and 172,534.98

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Solution

The fourth proportional to 509,494.98, 764,182.13 and 172,534.98 is: 258,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,494.98 : 764,182.13 = 172,534.98 : x
  2. Step 2: Convert to fraction form
    509,494.98/764,182.13 = 172,534.98/x
  3. Step 3: Cross multiply
    509,494.98x = 764,182.13 × 172,534.98
  4. Step 4: Simplify right side
    509,494.98x = 131,848,147,653.23
  5. Step 5: Solve for x
    x = 131,848,147,653.23/509,494.98
  6. Step 6: Final answer
    x = 258,782.03

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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.