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Finding the Fourth Proportional to 307,071, 460,542.96 and 82,378.17

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Solution

The fourth proportional to 307,071, 460,542.96 and 82,378.17 is: 123,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,071 : 460,542.96 = 82,378.17 : x
  2. Step 2: Convert to fraction form
    307,071/460,542.96 = 82,378.17/x
  3. Step 3: Cross multiply
    307,071x = 460,542.96 × 82,378.17
  4. Step 4: Simplify right side
    307,071x = 37,938,686,251.18
  5. Step 5: Solve for x
    x = 37,938,686,251.18/307,071
  6. Step 6: Final answer
    x = 123,550.21

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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.