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Finding the Fourth Proportional to 405,200.80, 606,926.40 and 263,483.20

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Solution

The fourth proportional to 405,200.80, 606,926.40 and 263,483.20 is: 394,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,200.80 : 606,926.40 = 263,483.20 : x
  2. Step 2: Convert to fraction form
    405,200.80/606,926.40 = 263,483.20/x
  3. Step 3: Cross multiply
    405,200.80x = 606,926.40 × 263,483.20
  4. Step 4: Simplify right side
    405,200.80x = 159,914,910,036.48
  5. Step 5: Solve for x
    x = 159,914,910,036.48/405,200.80
  6. Step 6: Final answer
    x = 394,655.96

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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.