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Finding the Fourth Proportional to 382,506, 527,858.28 and 223,530

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Solution

The fourth proportional to 382,506, 527,858.28 and 223,530 is: 308,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,506 : 527,858.28 = 223,530 : x
  2. Step 2: Convert to fraction form
    382,506/527,858.28 = 223,530/x
  3. Step 3: Cross multiply
    382,506x = 527,858.28 × 223,530
  4. Step 4: Simplify right side
    382,506x = 117,992,161,328.40
  5. Step 5: Solve for x
    x = 117,992,161,328.40/382,506
  6. Step 6: Final answer
    x = 308,471.40

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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.