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Finding the Fourth Proportional to 309,986.56, 465,028.44 and 132,494.50

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Solution

The fourth proportional to 309,986.56, 465,028.44 and 132,494.50 is: 198,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,986.56 : 465,028.44 = 132,494.50 : x
  2. Step 2: Convert to fraction form
    309,986.56/465,028.44 = 132,494.50/x
  3. Step 3: Cross multiply
    309,986.56x = 465,028.44 × 132,494.50
  4. Step 4: Simplify right side
    309,986.56x = 61,613,710,643.58
  5. Step 5: Solve for x
    x = 61,613,710,643.58/309,986.56
  6. Step 6: Final answer
    x = 198,762.52

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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.