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Finding the Fourth Proportional to 288,221.12, 397,751.88 and 180,795.68

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Solution

The fourth proportional to 288,221.12, 397,751.88 and 180,795.68 is: 249,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,221.12 : 397,751.88 = 180,795.68 : x
  2. Step 2: Convert to fraction form
    288,221.12/397,751.88 = 180,795.68/x
  3. Step 3: Cross multiply
    288,221.12x = 397,751.88 × 180,795.68
  4. Step 4: Simplify right side
    288,221.12x = 71,911,821,615.88
  5. Step 5: Solve for x
    x = 71,911,821,615.88/288,221.12
  6. Step 6: Final answer
    x = 249,502.26

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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.