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Finding the Fourth Proportional to 445,205.84, 667,839.74 and 178,966.53

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Solution

The fourth proportional to 445,205.84, 667,839.74 and 178,966.53 is: 268,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,205.84 : 667,839.74 = 178,966.53 : x
  2. Step 2: Convert to fraction form
    445,205.84/667,839.74 = 178,966.53/x
  3. Step 3: Cross multiply
    445,205.84x = 667,839.74 × 178,966.53
  4. Step 4: Simplify right side
    445,205.84x = 119,520,959,969.07
  5. Step 5: Solve for x
    x = 119,520,959,969.07/445,205.84
  6. Step 6: Final answer
    x = 268,462.25

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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.