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Finding the Fourth Proportional to 310,382.70, 465,899.82 and 275,069.94

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Solution

The fourth proportional to 310,382.70, 465,899.82 and 275,069.94 is: 412,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,382.70 : 465,899.82 = 275,069.94 : x
  2. Step 2: Convert to fraction form
    310,382.70/465,899.82 = 275,069.94/x
  3. Step 3: Cross multiply
    310,382.70x = 465,899.82 × 275,069.94
  4. Step 4: Simplify right side
    310,382.70x = 128,155,035,533.41
  5. Step 5: Solve for x
    x = 128,155,035,533.41/310,382.70
  6. Step 6: Final answer
    x = 412,893.62

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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.