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Finding the Fourth Proportional to 463,308.54, 640,585.77 and 405,782.92

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Solution

The fourth proportional to 463,308.54, 640,585.77 and 405,782.92 is: 561,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,308.54 : 640,585.77 = 405,782.92 : x
  2. Step 2: Convert to fraction form
    463,308.54/640,585.77 = 405,782.92/x
  3. Step 3: Cross multiply
    463,308.54x = 640,585.77 × 405,782.92
  4. Step 4: Simplify right side
    463,308.54x = 259,938,764,261.05
  5. Step 5: Solve for x
    x = 259,938,764,261.05/463,308.54
  6. Step 6: Final answer
    x = 561,048.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.