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Finding the Fourth Proportional to 329,834, 455,171.16 and 178,931.60

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Solution

The fourth proportional to 329,834, 455,171.16 and 178,931.60 is: 246,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,834 : 455,171.16 = 178,931.60 : x
  2. Step 2: Convert to fraction form
    329,834/455,171.16 = 178,931.60/x
  3. Step 3: Cross multiply
    329,834x = 455,171.16 × 178,931.60
  4. Step 4: Simplify right side
    329,834x = 81,444,503,932.66
  5. Step 5: Solve for x
    x = 81,444,503,932.66/329,834
  6. Step 6: Final answer
    x = 246,925.74

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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.