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Finding the Fourth Proportional to 288,609.60, 398,023.36 and 181,189.64

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Solution

The fourth proportional to 288,609.60, 398,023.36 and 181,189.64 is: 249,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,609.60 : 398,023.36 = 181,189.64 : x
  2. Step 2: Convert to fraction form
    288,609.60/398,023.36 = 181,189.64/x
  3. Step 3: Cross multiply
    288,609.60x = 398,023.36 × 181,189.64
  4. Step 4: Simplify right side
    288,609.60x = 72,117,709,309.99
  5. Step 5: Solve for x
    x = 72,117,709,309.99/288,609.60
  6. Step 6: Final answer
    x = 249,879.80

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1.5x scale

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.