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Finding the Fourth Proportional to 312,436, 468,796.80 and 170,068

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Solution

The fourth proportional to 312,436, 468,796.80 and 170,068 is: 255,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,436 : 468,796.80 = 170,068 : x
  2. Step 2: Convert to fraction form
    312,436/468,796.80 = 170,068/x
  3. Step 3: Cross multiply
    312,436x = 468,796.80 × 170,068
  4. Step 4: Simplify right side
    312,436x = 79,727,334,182.40
  5. Step 5: Solve for x
    x = 79,727,334,182.40/312,436
  6. Step 6: Final answer
    x = 255,179.73

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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.