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Finding the Fourth Proportional to 313,678.33, 470,253 and 136,051.60

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Solution

The fourth proportional to 313,678.33, 470,253 and 136,051.60 is: 203,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,678.33 : 470,253 = 136,051.60 : x
  2. Step 2: Convert to fraction form
    313,678.33/470,253 = 136,051.60/x
  3. Step 3: Cross multiply
    313,678.33x = 470,253 × 136,051.60
  4. Step 4: Simplify right side
    313,678.33x = 63,978,673,054.80
  5. Step 5: Solve for x
    x = 63,978,673,054.80/313,678.33
  6. Step 6: Final answer
    x = 203,962.68

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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.