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Finding the Fourth Proportional to 646,172.80, 969,412.80 and 272,003.20

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Solution

The fourth proportional to 646,172.80, 969,412.80 and 272,003.20 is: 408,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,172.80 : 969,412.80 = 272,003.20 : x
  2. Step 2: Convert to fraction form
    646,172.80/969,412.80 = 272,003.20/x
  3. Step 3: Cross multiply
    646,172.80x = 969,412.80 × 272,003.20
  4. Step 4: Simplify right side
    646,172.80x = 263,683,383,720.96
  5. Step 5: Solve for x
    x = 263,683,383,720.96/646,172.80
  6. Step 6: Final answer
    x = 408,069.46

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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.