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Finding the Fourth Proportional to 415,940.90, 574,069.02 and 234,704.21

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Solution

The fourth proportional to 415,940.90, 574,069.02 and 234,704.21 is: 323,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,940.90 : 574,069.02 = 234,704.21 : x
  2. Step 2: Convert to fraction form
    415,940.90/574,069.02 = 234,704.21/x
  3. Step 3: Cross multiply
    415,940.90x = 574,069.02 × 234,704.21
  4. Step 4: Simplify right side
    415,940.90x = 134,736,415,824.57
  5. Step 5: Solve for x
    x = 134,736,415,824.57/415,940.90
  6. Step 6: Final answer
    x = 323,931.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.