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Finding the Fourth Proportional to 419,282.85, 628,730.64 and 134,920.47

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Solution

The fourth proportional to 419,282.85, 628,730.64 and 134,920.47 is: 202,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,282.85 : 628,730.64 = 134,920.47 : x
  2. Step 2: Convert to fraction form
    419,282.85/628,730.64 = 134,920.47/x
  3. Step 3: Cross multiply
    419,282.85x = 628,730.64 × 134,920.47
  4. Step 4: Simplify right side
    419,282.85x = 84,828,633,452.20
  5. Step 5: Solve for x
    x = 84,828,633,452.20/419,282.85
  6. Step 6: Final answer
    x = 202,318.40

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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.