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Finding the Fourth Proportional to 460,912.80, 691,401.60 and 261,328.80

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Solution

The fourth proportional to 460,912.80, 691,401.60 and 261,328.80 is: 392,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,912.80 : 691,401.60 = 261,328.80 : x
  2. Step 2: Convert to fraction form
    460,912.80/691,401.60 = 261,328.80/x
  3. Step 3: Cross multiply
    460,912.80x = 691,401.60 × 261,328.80
  4. Step 4: Simplify right side
    460,912.80x = 180,683,150,446.08
  5. Step 5: Solve for x
    x = 180,683,150,446.08/460,912.80
  6. Step 6: Final answer
    x = 392,011.57

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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.