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Finding the Fourth Proportional to 478,082.16, 659,780.64 and 263,268

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Solution

The fourth proportional to 478,082.16, 659,780.64 and 263,268 is: 363,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,082.16 : 659,780.64 = 263,268 : x
  2. Step 2: Convert to fraction form
    478,082.16/659,780.64 = 263,268/x
  3. Step 3: Cross multiply
    478,082.16x = 659,780.64 × 263,268
  4. Step 4: Simplify right side
    478,082.16x = 173,699,129,531.52
  5. Step 5: Solve for x
    x = 173,699,129,531.52/478,082.16
  6. Step 6: Final answer
    x = 363,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.