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Finding the Fourth Proportional to 259,663.70, 389,455.05 and 82,214.30

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Solution

The fourth proportional to 259,663.70, 389,455.05 and 82,214.30 is: 123,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,663.70 : 389,455.05 = 82,214.30 : x
  2. Step 2: Convert to fraction form
    259,663.70/389,455.05 = 82,214.30/x
  3. Step 3: Cross multiply
    259,663.70x = 389,455.05 × 82,214.30
  4. Step 4: Simplify right side
    259,663.70x = 32,018,774,317.22
  5. Step 5: Solve for x
    x = 32,018,774,317.22/259,663.70
  6. Step 6: Final answer
    x = 123,308.63

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1.5x scale

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.