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Finding the Fourth Proportional to 307,293.40, 460,940.10 and 188,579.80

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Solution

The fourth proportional to 307,293.40, 460,940.10 and 188,579.80 is: 282,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,293.40 : 460,940.10 = 188,579.80 : x
  2. Step 2: Convert to fraction form
    307,293.40/460,940.10 = 188,579.80/x
  3. Step 3: Cross multiply
    307,293.40x = 460,940.10 × 188,579.80
  4. Step 4: Simplify right side
    307,293.40x = 86,923,991,869.98
  5. Step 5: Solve for x
    x = 86,923,991,869.98/307,293.40
  6. Step 6: Final answer
    x = 282,869.70

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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.