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Finding the Fourth Proportional to 430,619, 645,740.02 and 217,255.64

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Solution

The fourth proportional to 430,619, 645,740.02 and 217,255.64 is: 325,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,619 : 645,740.02 = 217,255.64 : x
  2. Step 2: Convert to fraction form
    430,619/645,740.02 = 217,255.64/x
  3. Step 3: Cross multiply
    430,619x = 645,740.02 × 217,255.64
  4. Step 4: Simplify right side
    430,619x = 140,290,661,318.71
  5. Step 5: Solve for x
    x = 140,290,661,318.71/430,619
  6. Step 6: Final answer
    x = 325,788.37

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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.