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Finding the Fourth Proportional to 551,782.09, 827,253.64 and 285,372.82

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Solution

The fourth proportional to 551,782.09, 827,253.64 and 285,372.82 is: 427,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,782.09 : 827,253.64 = 285,372.82 : x
  2. Step 2: Convert to fraction form
    551,782.09/827,253.64 = 285,372.82/x
  3. Step 3: Cross multiply
    551,782.09x = 827,253.64 × 285,372.82
  4. Step 4: Simplify right side
    551,782.09x = 236,075,704,102.07
  5. Step 5: Solve for x
    x = 236,075,704,102.07/551,782.09
  6. Step 6: Final answer
    x = 427,842.27

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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.