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Finding the Fourth Proportional to 361,405.80, 541,590.30 and 265,890.60

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Solution

The fourth proportional to 361,405.80, 541,590.30 and 265,890.60 is: 398,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,405.80 : 541,590.30 = 265,890.60 : x
  2. Step 2: Convert to fraction form
    361,405.80/541,590.30 = 265,890.60/x
  3. Step 3: Cross multiply
    361,405.80x = 541,590.30 × 265,890.60
  4. Step 4: Simplify right side
    361,405.80x = 144,003,769,821.18
  5. Step 5: Solve for x
    x = 144,003,769,821.18/361,405.80
  6. Step 6: Final answer
    x = 398,454.51

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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.