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Finding the Fourth Proportional to 911,914.74, 1,367,900 and 312,867.50

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Solution

The fourth proportional to 911,914.74, 1,367,900 and 312,867.50 is: 469,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,914.74 : 1,367,900 = 312,867.50 : x
  2. Step 2: Convert to fraction form
    911,914.74/1,367,900 = 312,867.50/x
  3. Step 3: Cross multiply
    911,914.74x = 1,367,900 × 312,867.50
  4. Step 4: Simplify right side
    911,914.74x = 427,971,453,250
  5. Step 5: Solve for x
    x = 427,971,453,250/911,914.74
  6. Step 6: Final answer
    x = 469,310.82

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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.