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Finding the Fourth Proportional to 289,365.78, 434,713.88 and 204,172.71

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Solution

The fourth proportional to 289,365.78, 434,713.88 and 204,172.71 is: 306,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,365.78 : 434,713.88 = 204,172.71 : x
  2. Step 2: Convert to fraction form
    289,365.78/434,713.88 = 204,172.71/x
  3. Step 3: Cross multiply
    289,365.78x = 434,713.88 × 204,172.71
  4. Step 4: Simplify right side
    289,365.78x = 88,756,710,954.21
  5. Step 5: Solve for x
    x = 88,756,710,954.21/289,365.78
  6. Step 6: Final answer
    x = 306,728.43

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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.