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Finding the Fourth Proportional to 320,076, 441,704.88 and 178,764

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Solution

The fourth proportional to 320,076, 441,704.88 and 178,764 is: 246,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,076 : 441,704.88 = 178,764 : x
  2. Step 2: Convert to fraction form
    320,076/441,704.88 = 178,764/x
  3. Step 3: Cross multiply
    320,076x = 441,704.88 × 178,764
  4. Step 4: Simplify right side
    320,076x = 78,960,931,168.32
  5. Step 5: Solve for x
    x = 78,960,931,168.32/320,076
  6. Step 6: Final answer
    x = 246,694.32

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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.