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Finding the Fourth Proportional to 489,706.80, 735,143.40 and 276,644.40

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Solution

The fourth proportional to 489,706.80, 735,143.40 and 276,644.40 is: 415,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,706.80 : 735,143.40 = 276,644.40 : x
  2. Step 2: Convert to fraction form
    489,706.80/735,143.40 = 276,644.40/x
  3. Step 3: Cross multiply
    489,706.80x = 735,143.40 × 276,644.40
  4. Step 4: Simplify right side
    489,706.80x = 203,373,304,806.96
  5. Step 5: Solve for x
    x = 203,373,304,806.96/489,706.80
  6. Step 6: Final answer
    x = 415,296.06

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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.