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Finding the Fourth Proportional to 405,327.20, 606,241.20 and 342,341.60

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Solution

The fourth proportional to 405,327.20, 606,241.20 and 342,341.60 is: 512,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,327.20 : 606,241.20 = 342,341.60 : x
  2. Step 2: Convert to fraction form
    405,327.20/606,241.20 = 342,341.60/x
  3. Step 3: Cross multiply
    405,327.20x = 606,241.20 × 342,341.60
  4. Step 4: Simplify right side
    405,327.20x = 207,541,582,393.92
  5. Step 5: Solve for x
    x = 207,541,582,393.92/405,327.20
  6. Step 6: Final answer
    x = 512,034.68

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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.