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Finding the Fourth Proportional to 382,504, 527,855.52 and 223,528

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Solution

The fourth proportional to 382,504, 527,855.52 and 223,528 is: 308,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,504 : 527,855.52 = 223,528 : x
  2. Step 2: Convert to fraction form
    382,504/527,855.52 = 223,528/x
  3. Step 3: Cross multiply
    382,504x = 527,855.52 × 223,528
  4. Step 4: Simplify right side
    382,504x = 117,990,488,674.56
  5. Step 5: Solve for x
    x = 117,990,488,674.56/382,504
  6. Step 6: Final answer
    x = 308,468.64

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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.