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Finding the Fourth Proportional to 481,716, 722,747.76 and 256,839.84

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Solution

The fourth proportional to 481,716, 722,747.76 and 256,839.84 is: 385,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,716 : 722,747.76 = 256,839.84 : x
  2. Step 2: Convert to fraction form
    481,716/722,747.76 = 256,839.84/x
  3. Step 3: Cross multiply
    481,716x = 722,747.76 × 256,839.84
  4. Step 4: Simplify right side
    481,716x = 185,630,419,038.76
  5. Step 5: Solve for x
    x = 185,630,419,038.76/481,716
  6. Step 6: Final answer
    x = 385,352.40

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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.