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Finding the Fourth Proportional to 508,145.76, 762,218.64 and 134,172

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Solution

The fourth proportional to 508,145.76, 762,218.64 and 134,172 is: 201,258

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,145.76 : 762,218.64 = 134,172 : x
  2. Step 2: Convert to fraction form
    508,145.76/762,218.64 = 134,172/x
  3. Step 3: Cross multiply
    508,145.76x = 762,218.64 × 134,172
  4. Step 4: Simplify right side
    508,145.76x = 102,268,399,366.08
  5. Step 5: Solve for x
    x = 102,268,399,366.08/508,145.76
  6. Step 6: Final answer
    x = 201,258

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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.