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Finding the Fourth Proportional to 378,456.54, 567,684.84 and 259,768.08

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Solution

The fourth proportional to 378,456.54, 567,684.84 and 259,768.08 is: 389,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,456.54 : 567,684.84 = 259,768.08 : x
  2. Step 2: Convert to fraction form
    378,456.54/567,684.84 = 259,768.08/x
  3. Step 3: Cross multiply
    378,456.54x = 567,684.84 × 259,768.08
  4. Step 4: Simplify right side
    378,456.54x = 147,466,400,931.91
  5. Step 5: Solve for x
    x = 147,466,400,931.91/378,456.54
  6. Step 6: Final answer
    x = 389,652.14

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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.