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Finding the Fourth Proportional to 313,905.21, 470,807.37 and 86,147.61

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Solution

The fourth proportional to 313,905.21, 470,807.37 and 86,147.61 is: 129,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,905.21 : 470,807.37 = 86,147.61 : x
  2. Step 2: Convert to fraction form
    313,905.21/470,807.37 = 86,147.61/x
  3. Step 3: Cross multiply
    313,905.21x = 470,807.37 × 86,147.61
  4. Step 4: Simplify right side
    313,905.21x = 40,558,932,145.09
  5. Step 5: Solve for x
    x = 40,558,932,145.09/313,905.21
  6. Step 6: Final answer
    x = 129,207.58

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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.