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Finding the Fourth Proportional to 645,878.46, 967,931.96 and 408,797.94

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Solution

The fourth proportional to 645,878.46, 967,931.96 and 408,797.94 is: 612,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,878.46 : 967,931.96 = 408,797.94 : x
  2. Step 2: Convert to fraction form
    645,878.46/967,931.96 = 408,797.94/x
  3. Step 3: Cross multiply
    645,878.46x = 967,931.96 × 408,797.94
  4. Step 4: Simplify right side
    645,878.46x = 395,688,591,308.16
  5. Step 5: Solve for x
    x = 395,688,591,308.16/645,878.46
  6. Step 6: Final answer
    x = 612,636.30

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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.