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Finding the Fourth Proportional to 469,692, 704,667.60 and 137,268

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Solution

The fourth proportional to 469,692, 704,667.60 and 137,268 is: 205,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,692 : 704,667.60 = 137,268 : x
  2. Step 2: Convert to fraction form
    469,692/704,667.60 = 137,268/x
  3. Step 3: Cross multiply
    469,692x = 704,667.60 × 137,268
  4. Step 4: Simplify right side
    469,692x = 96,728,312,116.80
  5. Step 5: Solve for x
    x = 96,728,312,116.80/469,692
  6. Step 6: Final answer
    x = 205,939.88

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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.