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Finding the Fourth Proportional to 345,652, 476,999.76 and 186,676

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Solution

The fourth proportional to 345,652, 476,999.76 and 186,676 is: 257,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,652 : 476,999.76 = 186,676 : x
  2. Step 2: Convert to fraction form
    345,652/476,999.76 = 186,676/x
  3. Step 3: Cross multiply
    345,652x = 476,999.76 × 186,676
  4. Step 4: Simplify right side
    345,652x = 89,044,407,197.76
  5. Step 5: Solve for x
    x = 89,044,407,197.76/345,652
  6. Step 6: Final answer
    x = 257,612.88

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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.