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Finding the Fourth Proportional to 264,431, 396,646.50 and 67,439

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Solution

The fourth proportional to 264,431, 396,646.50 and 67,439 is: 101,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,431 : 396,646.50 = 67,439 : x
  2. Step 2: Convert to fraction form
    264,431/396,646.50 = 67,439/x
  3. Step 3: Cross multiply
    264,431x = 396,646.50 × 67,439
  4. Step 4: Simplify right side
    264,431x = 26,749,443,313.50
  5. Step 5: Solve for x
    x = 26,749,443,313.50/264,431
  6. Step 6: Final answer
    x = 101,158.50

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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.