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Finding the Fourth Proportional to 313,004.80, 468,705.60 and 172,607.68

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Solution

The fourth proportional to 313,004.80, 468,705.60 and 172,607.68 is: 258,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,004.80 : 468,705.60 = 172,607.68 : x
  2. Step 2: Convert to fraction form
    313,004.80/468,705.60 = 172,607.68/x
  3. Step 3: Cross multiply
    313,004.80x = 468,705.60 × 172,607.68
  4. Step 4: Simplify right side
    313,004.80x = 80,902,186,219.01
  5. Step 5: Solve for x
    x = 80,902,186,219.01/313,004.80
  6. Step 6: Final answer
    x = 258,469.47

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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.