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Finding the Fourth Proportional to 413,946.48, 620,358.48 and 189,028.56

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Solution

The fourth proportional to 413,946.48, 620,358.48 and 189,028.56 is: 283,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,946.48 : 620,358.48 = 189,028.56 : x
  2. Step 2: Convert to fraction form
    413,946.48/620,358.48 = 189,028.56/x
  3. Step 3: Cross multiply
    413,946.48x = 620,358.48 × 189,028.56
  4. Step 4: Simplify right side
    413,946.48x = 117,265,470,158.19
  5. Step 5: Solve for x
    x = 117,265,470,158.19/413,946.48
  6. Step 6: Final answer
    x = 283,286.55

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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.