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Finding the Fourth Proportional to 512,915.50, 707,804.22 and 295,157.80

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Solution

The fourth proportional to 512,915.50, 707,804.22 and 295,157.80 is: 407,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,915.50 : 707,804.22 = 295,157.80 : x
  2. Step 2: Convert to fraction form
    512,915.50/707,804.22 = 295,157.80/x
  3. Step 3: Cross multiply
    512,915.50x = 707,804.22 × 295,157.80
  4. Step 4: Simplify right side
    512,915.50x = 208,913,936,405.92
  5. Step 5: Solve for x
    x = 208,913,936,405.92/512,915.50
  6. Step 6: Final answer
    x = 407,306.73

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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.