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Finding the Fourth Proportional to 548,408.86, 756,842.80 and 306,713.93

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Solution

The fourth proportional to 548,408.86, 756,842.80 and 306,713.93 is: 423,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,408.86 : 756,842.80 = 306,713.93 : x
  2. Step 2: Convert to fraction form
    548,408.86/756,842.80 = 306,713.93/x
  3. Step 3: Cross multiply
    548,408.86x = 756,842.80 × 306,713.93
  4. Step 4: Simplify right side
    548,408.86x = 232,134,224,262.42
  5. Step 5: Solve for x
    x = 232,134,224,262.42/548,408.86
  6. Step 6: Final answer
    x = 423,286.79

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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.