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Finding the Fourth Proportional to 310,428.85, 465,969.05 and 275,116.09

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Solution

The fourth proportional to 310,428.85, 465,969.05 and 275,116.09 is: 412,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,428.85 : 465,969.05 = 275,116.09 : x
  2. Step 2: Convert to fraction form
    310,428.85/465,969.05 = 275,116.09/x
  3. Step 3: Cross multiply
    310,428.85x = 465,969.05 × 275,116.09
  4. Step 4: Simplify right side
    310,428.85x = 128,195,583,097.02
  5. Step 5: Solve for x
    x = 128,195,583,097.02/310,428.85
  6. Step 6: Final answer
    x = 412,962.85

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1.5x scale

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.