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Finding the Fourth Proportional to 329,756.50, 455,064 and 186,513.46

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Solution

The fourth proportional to 329,756.50, 455,064 and 186,513.46 is: 257,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,756.50 : 455,064 = 186,513.46 : x
  2. Step 2: Convert to fraction form
    329,756.50/455,064 = 186,513.46/x
  3. Step 3: Cross multiply
    329,756.50x = 455,064 × 186,513.46
  4. Step 4: Simplify right side
    329,756.50x = 84,875,561,161.44
  5. Step 5: Solve for x
    x = 84,875,561,161.44/329,756.50
  6. Step 6: Final answer
    x = 257,388.59

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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.