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Finding the Fourth Proportional to 309,878.73, 465,014.73 and 132,387.08

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Solution

The fourth proportional to 309,878.73, 465,014.73 and 132,387.08 is: 198,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,878.73 : 465,014.73 = 132,387.08 : x
  2. Step 2: Convert to fraction form
    309,878.73/465,014.73 = 132,387.08/x
  3. Step 3: Cross multiply
    309,878.73x = 465,014.73 × 132,387.08
  4. Step 4: Simplify right side
    309,878.73x = 61,561,942,261.69
  5. Step 5: Solve for x
    x = 61,561,942,261.69/309,878.73
  6. Step 6: Final answer
    x = 198,664.63

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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.