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Finding the Fourth Proportional to 345,883.38, 477,319.06 and 194,980.38

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Solution

The fourth proportional to 345,883.38, 477,319.06 and 194,980.38 is: 269,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,883.38 : 477,319.06 = 194,980.38 : x
  2. Step 2: Convert to fraction form
    345,883.38/477,319.06 = 194,980.38/x
  3. Step 3: Cross multiply
    345,883.38x = 477,319.06 × 194,980.38
  4. Step 4: Simplify right side
    345,883.38x = 93,067,851,700.04
  5. Step 5: Solve for x
    x = 93,067,851,700.04/345,883.38
  6. Step 6: Final answer
    x = 269,072.92

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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.