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Finding the Fourth Proportional to 274,701.80, 411,438.30 and 268,557.80

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Solution

The fourth proportional to 274,701.80, 411,438.30 and 268,557.80 is: 402,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,701.80 : 411,438.30 = 268,557.80 : x
  2. Step 2: Convert to fraction form
    274,701.80/411,438.30 = 268,557.80/x
  3. Step 3: Cross multiply
    274,701.80x = 411,438.30 × 268,557.80
  4. Step 4: Simplify right side
    274,701.80x = 110,494,964,683.74
  5. Step 5: Solve for x
    x = 110,494,964,683.74/274,701.80
  6. Step 6: Final answer
    x = 402,236.04

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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.