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Finding the Fourth Proportional to 307,356.81, 460,979.04 and 82,664.64

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Solution

The fourth proportional to 307,356.81, 460,979.04 and 82,664.64 is: 123,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,356.81 : 460,979.04 = 82,664.64 : x
  2. Step 2: Convert to fraction form
    307,356.81/460,979.04 = 82,664.64/x
  3. Step 3: Cross multiply
    307,356.81x = 460,979.04 × 82,664.64
  4. Step 4: Simplify right side
    307,356.81x = 38,106,666,389.15
  5. Step 5: Solve for x
    x = 38,106,666,389.15/307,356.81
  6. Step 6: Final answer
    x = 123,981.85

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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.