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Finding the Fourth Proportional to 504,971.09, 696,229.79 and 323,384.48

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Solution

The fourth proportional to 504,971.09, 696,229.79 and 323,384.48 is: 445,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,971.09 : 696,229.79 = 323,384.48 : x
  2. Step 2: Convert to fraction form
    504,971.09/696,229.79 = 323,384.48/x
  3. Step 3: Cross multiply
    504,971.09x = 696,229.79 × 323,384.48
  4. Step 4: Simplify right side
    504,971.09x = 225,149,908,723.31
  5. Step 5: Solve for x
    x = 225,149,908,723.31/504,971.09
  6. Step 6: Final answer
    x = 445,866.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.