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Finding the Fourth Proportional to 274,428.76, 411,479.10 and 105,809.23

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Solution

The fourth proportional to 274,428.76, 411,479.10 and 105,809.23 is: 158,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,428.76 : 411,479.10 = 105,809.23 : x
  2. Step 2: Convert to fraction form
    274,428.76/411,479.10 = 105,809.23/x
  3. Step 3: Cross multiply
    274,428.76x = 411,479.10 × 105,809.23
  4. Step 4: Simplify right side
    274,428.76x = 43,538,286,732.09
  5. Step 5: Solve for x
    x = 43,538,286,732.09/274,428.76
  6. Step 6: Final answer
    x = 158,650.60

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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.