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Finding the Fourth Proportional to 316,696.62, 475,364.78 and 280,907.39

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Solution

The fourth proportional to 316,696.62, 475,364.78 and 280,907.39 is: 421,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,696.62 : 475,364.78 = 280,907.39 : x
  2. Step 2: Convert to fraction form
    316,696.62/475,364.78 = 280,907.39/x
  3. Step 3: Cross multiply
    316,696.62x = 475,364.78 × 280,907.39
  4. Step 4: Simplify right side
    316,696.62x = 133,533,481,472.57
  5. Step 5: Solve for x
    x = 133,533,481,472.57/316,696.62
  6. Step 6: Final answer
    x = 421,644.79

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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.