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Finding the Fourth Proportional to 461,648.36, 637,056.96 and 280,367.94

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Solution

The fourth proportional to 461,648.36, 637,056.96 and 280,367.94 is: 386,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,648.36 : 637,056.96 = 280,367.94 : x
  2. Step 2: Convert to fraction form
    461,648.36/637,056.96 = 280,367.94/x
  3. Step 3: Cross multiply
    461,648.36x = 637,056.96 × 280,367.94
  4. Step 4: Simplify right side
    461,648.36x = 178,610,347,537.86
  5. Step 5: Solve for x
    x = 178,610,347,537.86/461,648.36
  6. Step 6: Final answer
    x = 386,896.96

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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.