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Finding the Fourth Proportional to 288,189.16, 431,397.92 and 245,673.88

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Solution

The fourth proportional to 288,189.16, 431,397.92 and 245,673.88 is: 367,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,189.16 : 431,397.92 = 245,673.88 : x
  2. Step 2: Convert to fraction form
    288,189.16/431,397.92 = 245,673.88/x
  3. Step 3: Cross multiply
    288,189.16x = 431,397.92 × 245,673.88
  4. Step 4: Simplify right side
    288,189.16x = 105,983,200,830.33
  5. Step 5: Solve for x
    x = 105,983,200,830.33/288,189.16
  6. Step 6: Final answer
    x = 367,755.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.