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Finding the Fourth Proportional to 311,630.40, 429,946.68 and 175,647.60

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Solution

The fourth proportional to 311,630.40, 429,946.68 and 175,647.60 is: 242,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,630.40 : 429,946.68 = 175,647.60 : x
  2. Step 2: Convert to fraction form
    311,630.40/429,946.68 = 175,647.60/x
  3. Step 3: Cross multiply
    311,630.40x = 429,946.68 × 175,647.60
  4. Step 4: Simplify right side
    311,630.40x = 75,519,102,469.97
  5. Step 5: Solve for x
    x = 75,519,102,469.97/311,630.40
  6. Step 6: Final answer
    x = 242,335.48

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1.5x scale

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.