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Finding the Fourth Proportional to 313,316.75, 469,951.88 and 100,076.05

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Solution

The fourth proportional to 313,316.75, 469,951.88 and 100,076.05 is: 150,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,316.75 : 469,951.88 = 100,076.05 : x
  2. Step 2: Convert to fraction form
    313,316.75/469,951.88 = 100,076.05/x
  3. Step 3: Cross multiply
    313,316.75x = 469,951.88 × 100,076.05
  4. Step 4: Simplify right side
    313,316.75x = 47,030,926,915.78
  5. Step 5: Solve for x
    x = 47,030,926,915.78/313,316.75
  6. Step 6: Final answer
    x = 150,106.65

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1.5x scale

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.