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Finding the Fourth Proportional to 345,754.34, 477,129.20 and 190,711.79

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Solution

The fourth proportional to 345,754.34, 477,129.20 and 190,711.79 is: 263,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,754.34 : 477,129.20 = 190,711.79 : x
  2. Step 2: Convert to fraction form
    345,754.34/477,129.20 = 190,711.79/x
  3. Step 3: Cross multiply
    345,754.34x = 477,129.20 × 190,711.79
  4. Step 4: Simplify right side
    345,754.34x = 90,994,160,454.06
  5. Step 5: Solve for x
    x = 90,994,160,454.06/345,754.34
  6. Step 6: Final answer
    x = 263,175.76

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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.