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Finding the Fourth Proportional to 451,872, 677,808 and 156,384

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Solution

The fourth proportional to 451,872, 677,808 and 156,384 is: 234,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,872 : 677,808 = 156,384 : x
  2. Step 2: Convert to fraction form
    451,872/677,808 = 156,384/x
  3. Step 3: Cross multiply
    451,872x = 677,808 × 156,384
  4. Step 4: Simplify right side
    451,872x = 105,998,326,272
  5. Step 5: Solve for x
    x = 105,998,326,272/451,872
  6. Step 6: Final answer
    x = 234,576

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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.