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Finding the Fourth Proportional to 307,057.32, 423,830.34 and 193,955.40

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Solution

The fourth proportional to 307,057.32, 423,830.34 and 193,955.40 is: 267,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,057.32 : 423,830.34 = 193,955.40 : x
  2. Step 2: Convert to fraction form
    307,057.32/423,830.34 = 193,955.40/x
  3. Step 3: Cross multiply
    307,057.32x = 423,830.34 × 193,955.40
  4. Step 4: Simplify right side
    307,057.32x = 82,204,183,126.84
  5. Step 5: Solve for x
    x = 82,204,183,126.84/307,057.32
  6. Step 6: Final answer
    x = 267,716.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.