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Finding the Fourth Proportional to 427,346.78, 640,735.43 and 235,311.67

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Solution

The fourth proportional to 427,346.78, 640,735.43 and 235,311.67 is: 352,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,346.78 : 640,735.43 = 235,311.67 : x
  2. Step 2: Convert to fraction form
    427,346.78/640,735.43 = 235,311.67/x
  3. Step 3: Cross multiply
    427,346.78x = 640,735.43 × 235,311.67
  4. Step 4: Simplify right side
    427,346.78x = 150,772,519,681.23
  5. Step 5: Solve for x
    x = 150,772,519,681.23/427,346.78
  6. Step 6: Final answer
    x = 352,810.71

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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.