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Finding the Fourth Proportional to 329,899.50, 455,263.74 and 178,996.50

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Solution

The fourth proportional to 329,899.50, 455,263.74 and 178,996.50 is: 247,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,899.50 : 455,263.74 = 178,996.50 : x
  2. Step 2: Convert to fraction form
    329,899.50/455,263.74 = 178,996.50/x
  3. Step 3: Cross multiply
    329,899.50x = 455,263.74 × 178,996.50
  4. Step 4: Simplify right side
    329,899.50x = 81,490,616,036.91
  5. Step 5: Solve for x
    x = 81,490,616,036.91/329,899.50
  6. Step 6: Final answer
    x = 247,016.49

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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.