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Finding the Fourth Proportional to 635,139.84, 952,038 and 208,563.60

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Solution

The fourth proportional to 635,139.84, 952,038 and 208,563.60 is: 312,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,139.84 : 952,038 = 208,563.60 : x
  2. Step 2: Convert to fraction form
    635,139.84/952,038 = 208,563.60/x
  3. Step 3: Cross multiply
    635,139.84x = 952,038 × 208,563.60
  4. Step 4: Simplify right side
    635,139.84x = 198,560,472,616.80
  5. Step 5: Solve for x
    x = 198,560,472,616.80/635,139.84
  6. Step 6: Final answer
    x = 312,624.81

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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.