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Finding the Fourth Proportional to 463,307.54, 640,584.38 and 405,781.92

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Solution

The fourth proportional to 463,307.54, 640,584.38 and 405,781.92 is: 561,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,307.54 : 640,584.38 = 405,781.92 : x
  2. Step 2: Convert to fraction form
    463,307.54/640,584.38 = 405,781.92/x
  3. Step 3: Cross multiply
    463,307.54x = 640,584.38 × 405,781.92
  4. Step 4: Simplify right side
    463,307.54x = 259,937,560,652.86
  5. Step 5: Solve for x
    x = 259,937,560,652.86/463,307.54
  6. Step 6: Final answer
    x = 561,047.56

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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.