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Finding the Fourth Proportional to 420,662.11, 631,125.94 and 319,942.63

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Solution

The fourth proportional to 420,662.11, 631,125.94 and 319,942.63 is: 480,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,662.11 : 631,125.94 = 319,942.63 : x
  2. Step 2: Convert to fraction form
    420,662.11/631,125.94 = 319,942.63/x
  3. Step 3: Cross multiply
    420,662.11x = 631,125.94 × 319,942.63
  4. Step 4: Simplify right side
    420,662.11x = 201,924,090,727.15
  5. Step 5: Solve for x
    x = 201,924,090,727.15/420,662.11
  6. Step 6: Final answer
    x = 480,014.93

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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.