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Finding the Fourth Proportional to 288,022.56, 397,452.24 and 180,588

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Solution

The fourth proportional to 288,022.56, 397,452.24 and 180,588 is: 249,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,022.56 : 397,452.24 = 180,588 : x
  2. Step 2: Convert to fraction form
    288,022.56/397,452.24 = 180,588/x
  3. Step 3: Cross multiply
    288,022.56x = 397,452.24 × 180,588
  4. Step 4: Simplify right side
    288,022.56x = 71,775,105,117.12
  5. Step 5: Solve for x
    x = 71,775,105,117.12/288,022.56
  6. Step 6: Final answer
    x = 249,199.59

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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.