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Finding the Fourth Proportional to 420,955.72, 631,428.78 and 121,426.42

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Solution

The fourth proportional to 420,955.72, 631,428.78 and 121,426.42 is: 182,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,955.72 : 631,428.78 = 121,426.42 : x
  2. Step 2: Convert to fraction form
    420,955.72/631,428.78 = 121,426.42/x
  3. Step 3: Cross multiply
    420,955.72x = 631,428.78 × 121,426.42
  4. Step 4: Simplify right side
    420,955.72x = 76,672,136,240.37
  5. Step 5: Solve for x
    x = 76,672,136,240.37/420,955.72
  6. Step 6: Final answer
    x = 182,138.25

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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.