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Finding the Fourth Proportional to 426,576.32, 639,898.50 and 146,096

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Solution

The fourth proportional to 426,576.32, 639,898.50 and 146,096 is: 219,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,576.32 : 639,898.50 = 146,096 : x
  2. Step 2: Convert to fraction form
    426,576.32/639,898.50 = 146,096/x
  3. Step 3: Cross multiply
    426,576.32x = 639,898.50 × 146,096
  4. Step 4: Simplify right side
    426,576.32x = 93,486,611,256
  5. Step 5: Solve for x
    x = 93,486,611,256/426,576.32
  6. Step 6: Final answer
    x = 219,155.65

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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.