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Finding the Fourth Proportional to 329,743.80, 455,046.48 and 186,500.80

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Solution

The fourth proportional to 329,743.80, 455,046.48 and 186,500.80 is: 257,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,743.80 : 455,046.48 = 186,500.80 : x
  2. Step 2: Convert to fraction form
    329,743.80/455,046.48 = 186,500.80/x
  3. Step 3: Cross multiply
    329,743.80x = 455,046.48 × 186,500.80
  4. Step 4: Simplify right side
    329,743.80x = 84,866,532,557.18
  5. Step 5: Solve for x
    x = 84,866,532,557.18/329,743.80
  6. Step 6: Final answer
    x = 257,371.12

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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.