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Finding the Fourth Proportional to 310,968.94, 466,453.14 and 86,329.21

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Solution

The fourth proportional to 310,968.94, 466,453.14 and 86,329.21 is: 129,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,968.94 : 466,453.14 = 86,329.21 : x
  2. Step 2: Convert to fraction form
    310,968.94/466,453.14 = 86,329.21/x
  3. Step 3: Cross multiply
    310,968.94x = 466,453.14 × 86,329.21
  4. Step 4: Simplify right side
    310,968.94x = 40,268,531,078.22
  5. Step 5: Solve for x
    x = 40,268,531,078.22/310,968.94
  6. Step 6: Final answer
    x = 129,493.74

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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.