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Finding the Fourth Proportional to 520,165.82, 778,839.86 and 270,322.94

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Solution

The fourth proportional to 520,165.82, 778,839.86 and 270,322.94 is: 404,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,165.82 : 778,839.86 = 270,322.94 : x
  2. Step 2: Convert to fraction form
    520,165.82/778,839.86 = 270,322.94/x
  3. Step 3: Cross multiply
    520,165.82x = 778,839.86 × 270,322.94
  4. Step 4: Simplify right side
    520,165.82x = 210,538,280,744.39
  5. Step 5: Solve for x
    x = 210,538,280,744.39/520,165.82
  6. Step 6: Final answer
    x = 404,752.24

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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.