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Finding the Fourth Proportional to 311,523.54, 429,915.14 and 175,563.22

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Solution

The fourth proportional to 311,523.54, 429,915.14 and 175,563.22 is: 242,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,523.54 : 429,915.14 = 175,563.22 : x
  2. Step 2: Convert to fraction form
    311,523.54/429,915.14 = 175,563.22/x
  3. Step 3: Cross multiply
    311,523.54x = 429,915.14 × 175,563.22
  4. Step 4: Simplify right side
    311,523.54x = 75,477,286,804.54
  5. Step 5: Solve for x
    x = 75,477,286,804.54/311,523.54
  6. Step 6: Final answer
    x = 242,284.38

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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.