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Finding the Fourth Proportional to 405,846.40, 608,769.60 and 265,763.20

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Solution

The fourth proportional to 405,846.40, 608,769.60 and 265,763.20 is: 398,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,846.40 : 608,769.60 = 265,763.20 : x
  2. Step 2: Convert to fraction form
    405,846.40/608,769.60 = 265,763.20/x
  3. Step 3: Cross multiply
    405,846.40x = 608,769.60 × 265,763.20
  4. Step 4: Simplify right side
    405,846.40x = 161,788,556,958.72
  5. Step 5: Solve for x
    x = 161,788,556,958.72/405,846.40
  6. Step 6: Final answer
    x = 398,644.80

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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.