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Finding the Fourth Proportional to 307,878.32, 461,844.68 and 86,262.96

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Solution

The fourth proportional to 307,878.32, 461,844.68 and 86,262.96 is: 129,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,878.32 : 461,844.68 = 86,262.96 : x
  2. Step 2: Convert to fraction form
    307,878.32/461,844.68 = 86,262.96/x
  3. Step 3: Cross multiply
    307,878.32x = 461,844.68 × 86,262.96
  4. Step 4: Simplify right side
    307,878.32x = 39,840,089,157.05
  5. Step 5: Solve for x
    x = 39,840,089,157.05/307,878.32
  6. Step 6: Final answer
    x = 129,402.06

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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.