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Finding the Fourth Proportional to 414,915.40, 620,817.90 and 274,947.40

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Solution

The fourth proportional to 414,915.40, 620,817.90 and 274,947.40 is: 411,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,915.40 : 620,817.90 = 274,947.40 : x
  2. Step 2: Convert to fraction form
    414,915.40/620,817.90 = 274,947.40/x
  3. Step 3: Cross multiply
    414,915.40x = 620,817.90 × 274,947.40
  4. Step 4: Simplify right side
    414,915.40x = 170,692,267,478.46
  5. Step 5: Solve for x
    x = 170,692,267,478.46/414,915.40
  6. Step 6: Final answer
    x = 411,390.53

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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.