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Finding the Fourth Proportional to 498,250.58, 746,915.90 and 198,658.71

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Solution

The fourth proportional to 498,250.58, 746,915.90 and 198,658.71 is: 297,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,250.58 : 746,915.90 = 198,658.71 : x
  2. Step 2: Convert to fraction form
    498,250.58/746,915.90 = 198,658.71/x
  3. Step 3: Cross multiply
    498,250.58x = 746,915.90 × 198,658.71
  4. Step 4: Simplify right side
    498,250.58x = 148,381,348,179.20
  5. Step 5: Solve for x
    x = 148,381,348,179.20/498,250.58
  6. Step 6: Final answer
    x = 297,804.67

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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.