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Finding the Fourth Proportional to 307,086.57, 423,870.71 and 193,984.65

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Solution

The fourth proportional to 307,086.57, 423,870.71 and 193,984.65 is: 267,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,086.57 : 423,870.71 = 193,984.65 : x
  2. Step 2: Convert to fraction form
    307,086.57/423,870.71 = 193,984.65/x
  3. Step 3: Cross multiply
    307,086.57x = 423,870.71 × 193,984.65
  4. Step 4: Simplify right side
    307,086.57x = 82,224,410,354.68
  5. Step 5: Solve for x
    x = 82,224,410,354.68/307,086.57
  6. Step 6: Final answer
    x = 267,756.45

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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.