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Finding the Fourth Proportional to 521,166.96, 780,963.12 and 387,419.76

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Solution

The fourth proportional to 521,166.96, 780,963.12 and 387,419.76 is: 580,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,166.96 : 780,963.12 = 387,419.76 : x
  2. Step 2: Convert to fraction form
    521,166.96/780,963.12 = 387,419.76/x
  3. Step 3: Cross multiply
    521,166.96x = 780,963.12 × 387,419.76
  4. Step 4: Simplify right side
    521,166.96x = 302,560,544,519.25
  5. Step 5: Solve for x
    x = 302,560,544,519.25/521,166.96
  6. Step 6: Final answer
    x = 580,544.37

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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.