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Finding the Fourth Proportional to 307,002, 460,528.92 and 85,386

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Solution

The fourth proportional to 307,002, 460,528.92 and 85,386 is: 128,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,002 : 460,528.92 = 85,386 : x
  2. Step 2: Convert to fraction form
    307,002/460,528.92 = 85,386/x
  3. Step 3: Cross multiply
    307,002x = 460,528.92 × 85,386
  4. Step 4: Simplify right side
    307,002x = 39,322,722,363.12
  5. Step 5: Solve for x
    x = 39,322,722,363.12/307,002
  6. Step 6: Final answer
    x = 128,086.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.