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Finding the Fourth Proportional to 430,576.56, 645,733.46 and 346,136.48

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Solution

The fourth proportional to 430,576.56, 645,733.46 and 346,136.48 is: 519,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,576.56 : 645,733.46 = 346,136.48 : x
  2. Step 2: Convert to fraction form
    430,576.56/645,733.46 = 346,136.48/x
  3. Step 3: Cross multiply
    430,576.56x = 645,733.46 × 346,136.48
  4. Step 4: Simplify right side
    430,576.56x = 223,511,906,862.62
  5. Step 5: Solve for x
    x = 223,511,906,862.62/430,576.56
  6. Step 6: Final answer
    x = 519,099.10

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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.