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Finding the Fourth Proportional to 310,428.26, 465,968.16 and 275,115.50

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Solution

The fourth proportional to 310,428.26, 465,968.16 and 275,115.50 is: 412,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,428.26 : 465,968.16 = 275,115.50 : x
  2. Step 2: Convert to fraction form
    310,428.26/465,968.16 = 275,115.50/x
  3. Step 3: Cross multiply
    310,428.26x = 465,968.16 × 275,115.50
  4. Step 4: Simplify right side
    310,428.26x = 128,195,062,740.02
  5. Step 5: Solve for x
    x = 128,195,062,740.02/310,428.26
  6. Step 6: Final answer
    x = 412,961.96

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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.