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Finding the Fourth Proportional to 515,599.97, 773,965.46 and 409,664.66

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Solution

The fourth proportional to 515,599.97, 773,965.46 and 409,664.66 is: 614,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,599.97 : 773,965.46 = 409,664.66 : x
  2. Step 2: Convert to fraction form
    515,599.97/773,965.46 = 409,664.66/x
  3. Step 3: Cross multiply
    515,599.97x = 773,965.46 × 409,664.66
  4. Step 4: Simplify right side
    515,599.97x = 317,066,294,176.98
  5. Step 5: Solve for x
    x = 317,066,294,176.98/515,599.97
  6. Step 6: Final answer
    x = 614,946.31

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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.