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Finding the Fourth Proportional to 635,709.30, 953,459.13 and 209,250.68

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Solution

The fourth proportional to 635,709.30, 953,459.13 and 209,250.68 is: 313,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,709.30 : 953,459.13 = 209,250.68 : x
  2. Step 2: Convert to fraction form
    635,709.30/953,459.13 = 209,250.68/x
  3. Step 3: Cross multiply
    635,709.30x = 953,459.13 × 209,250.68
  4. Step 4: Simplify right side
    635,709.30x = 199,511,967,322.10
  5. Step 5: Solve for x
    x = 199,511,967,322.10/635,709.30
  6. Step 6: Final answer
    x = 313,841.51

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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.