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Finding the Fourth Proportional to 456,493.46, 684,606.40 and 171,978.73

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Solution

The fourth proportional to 456,493.46, 684,606.40 and 171,978.73 is: 257,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,493.46 : 684,606.40 = 171,978.73 : x
  2. Step 2: Convert to fraction form
    456,493.46/684,606.40 = 171,978.73/x
  3. Step 3: Cross multiply
    456,493.46x = 684,606.40 × 171,978.73
  4. Step 4: Simplify right side
    456,493.46x = 117,737,737,080.41
  5. Step 5: Solve for x
    x = 117,737,737,080.41/456,493.46
  6. Step 6: Final answer
    x = 257,917.69

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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.