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Finding the Fourth Proportional to 289,841.76, 399,976.56 and 162,516.96

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Solution

The fourth proportional to 289,841.76, 399,976.56 and 162,516.96 is: 224,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,841.76 : 399,976.56 = 162,516.96 : x
  2. Step 2: Convert to fraction form
    289,841.76/399,976.56 = 162,516.96/x
  3. Step 3: Cross multiply
    289,841.76x = 399,976.56 × 162,516.96
  4. Step 4: Simplify right side
    289,841.76x = 65,002,974,602.46
  5. Step 5: Solve for x
    x = 65,002,974,602.46/289,841.76
  6. Step 6: Final answer
    x = 224,270.56

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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.