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Finding the Fourth Proportional to 420,930.72, 631,489.68 and 121,388.16

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Solution

The fourth proportional to 420,930.72, 631,489.68 and 121,388.16 is: 182,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,930.72 : 631,489.68 = 121,388.16 : x
  2. Step 2: Convert to fraction form
    420,930.72/631,489.68 = 121,388.16/x
  3. Step 3: Cross multiply
    420,930.72x = 631,489.68 × 121,388.16
  4. Step 4: Simplify right side
    420,930.72x = 76,655,370,314.19
  5. Step 5: Solve for x
    x = 76,655,370,314.19/420,930.72
  6. Step 6: Final answer
    x = 182,109.23

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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.