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Finding the Fourth Proportional to 405,767.20, 608,650.80 and 264,762.40

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Solution

The fourth proportional to 405,767.20, 608,650.80 and 264,762.40 is: 397,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,767.20 : 608,650.80 = 264,762.40 : x
  2. Step 2: Convert to fraction form
    405,767.20/608,650.80 = 264,762.40/x
  3. Step 3: Cross multiply
    405,767.20x = 608,650.80 × 264,762.40
  4. Step 4: Simplify right side
    405,767.20x = 161,147,846,569.92
  5. Step 5: Solve for x
    x = 161,147,846,569.92/405,767.20
  6. Step 6: Final answer
    x = 397,143.60

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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.