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Finding the Fourth Proportional to 345,295.76, 476,517.48 and 194,398.16

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Solution

The fourth proportional to 345,295.76, 476,517.48 and 194,398.16 is: 268,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,295.76 : 476,517.48 = 194,398.16 : x
  2. Step 2: Convert to fraction form
    345,295.76/476,517.48 = 194,398.16/x
  3. Step 3: Cross multiply
    345,295.76x = 476,517.48 × 194,398.16
  4. Step 4: Simplify right side
    345,295.76x = 92,634,121,319.84
  5. Step 5: Solve for x
    x = 92,634,121,319.84/345,295.76
  6. Step 6: Final answer
    x = 268,274.71

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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.