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Finding the Fourth Proportional to 319,551.76, 441,141.23 and 198,731.97

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Solution

The fourth proportional to 319,551.76, 441,141.23 and 198,731.97 is: 274,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,551.76 : 441,141.23 = 198,731.97 : x
  2. Step 2: Convert to fraction form
    319,551.76/441,141.23 = 198,731.97/x
  3. Step 3: Cross multiply
    319,551.76x = 441,141.23 × 198,731.97
  4. Step 4: Simplify right side
    319,551.76x = 87,668,865,686.12
  5. Step 5: Solve for x
    x = 87,668,865,686.12/319,551.76
  6. Step 6: Final answer
    x = 274,349.50

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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.