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Finding the Fourth Proportional to 458,638.38, 688,076.37 and 174,333.78

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Solution

The fourth proportional to 458,638.38, 688,076.37 and 174,333.78 is: 261,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,638.38 : 688,076.37 = 174,333.78 : x
  2. Step 2: Convert to fraction form
    458,638.38/688,076.37 = 174,333.78/x
  3. Step 3: Cross multiply
    458,638.38x = 688,076.37 × 174,333.78
  4. Step 4: Simplify right side
    458,638.38x = 119,954,954,510.78
  5. Step 5: Solve for x
    x = 119,954,954,510.78/458,638.38
  6. Step 6: Final answer
    x = 261,545.83

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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.