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Finding the Fourth Proportional to 216,419.29, 324,628.86 and 58,647.75

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Solution

The fourth proportional to 216,419.29, 324,628.86 and 58,647.75 is: 87,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,419.29 : 324,628.86 = 58,647.75 : x
  2. Step 2: Convert to fraction form
    216,419.29/324,628.86 = 58,647.75/x
  3. Step 3: Cross multiply
    216,419.29x = 324,628.86 × 58,647.75
  4. Step 4: Simplify right side
    216,419.29x = 19,038,751,226.64
  5. Step 5: Solve for x
    x = 19,038,751,226.64/216,419.29
  6. Step 6: Final answer
    x = 87,971.60

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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.