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Finding the Fourth Proportional to 307,173.54, 460,729.15 and 82,504.78

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Solution

The fourth proportional to 307,173.54, 460,729.15 and 82,504.78 is: 123,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,173.54 : 460,729.15 = 82,504.78 : x
  2. Step 2: Convert to fraction form
    307,173.54/460,729.15 = 82,504.78/x
  3. Step 3: Cross multiply
    307,173.54x = 460,729.15 × 82,504.78
  4. Step 4: Simplify right side
    307,173.54x = 38,012,357,160.34
  5. Step 5: Solve for x
    x = 38,012,357,160.34/307,173.54
  6. Step 6: Final answer
    x = 123,748.80

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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.