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Finding the Fourth Proportional to 312,704, 469,056 and 137,600

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Solution

The fourth proportional to 312,704, 469,056 and 137,600 is: 206,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,704 : 469,056 = 137,600 : x
  2. Step 2: Convert to fraction form
    312,704/469,056 = 137,600/x
  3. Step 3: Cross multiply
    312,704x = 469,056 × 137,600
  4. Step 4: Simplify right side
    312,704x = 64,542,105,600
  5. Step 5: Solve for x
    x = 64,542,105,600/312,704
  6. Step 6: Final answer
    x = 206,400

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.