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Finding the Fourth Proportional to 653,530.86, 980,297.06 and 204,254.08

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Solution

The fourth proportional to 653,530.86, 980,297.06 and 204,254.08 is: 306,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,530.86 : 980,297.06 = 204,254.08 : x
  2. Step 2: Convert to fraction form
    653,530.86/980,297.06 = 204,254.08/x
  3. Step 3: Cross multiply
    653,530.86x = 980,297.06 × 204,254.08
  4. Step 4: Simplify right side
    653,530.86x = 200,229,677,308.09
  5. Step 5: Solve for x
    x = 200,229,677,308.09/653,530.86
  6. Step 6: Final answer
    x = 306,381.37

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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.