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Finding the Fourth Proportional to 419,079.88, 628,678.76 and 134,675.20

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Solution

The fourth proportional to 419,079.88, 628,678.76 and 134,675.20 is: 202,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,079.88 : 628,678.76 = 134,675.20 : x
  2. Step 2: Convert to fraction form
    419,079.88/628,678.76 = 134,675.20/x
  3. Step 3: Cross multiply
    419,079.88x = 628,678.76 × 134,675.20
  4. Step 4: Simplify right side
    419,079.88x = 84,667,437,738.75
  5. Step 5: Solve for x
    x = 84,667,437,738.75/419,079.88
  6. Step 6: Final answer
    x = 202,031.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.