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Finding the Fourth Proportional to 413,879.60, 620,819.40 and 361,391.60

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Solution

The fourth proportional to 413,879.60, 620,819.40 and 361,391.60 is: 542,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,879.60 : 620,819.40 = 361,391.60 : x
  2. Step 2: Convert to fraction form
    413,879.60/620,819.40 = 361,391.60/x
  3. Step 3: Cross multiply
    413,879.60x = 620,819.40 × 361,391.60
  4. Step 4: Simplify right side
    413,879.60x = 224,358,916,277.04
  5. Step 5: Solve for x
    x = 224,358,916,277.04/413,879.60
  6. Step 6: Final answer
    x = 542,087.40

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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.