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Finding the Fourth Proportional to 288,191.30, 431,401.12 and 245,676.02

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Solution

The fourth proportional to 288,191.30, 431,401.12 and 245,676.02 is: 367,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,191.30 : 431,401.12 = 245,676.02 : x
  2. Step 2: Convert to fraction form
    288,191.30/431,401.12 = 245,676.02/x
  3. Step 3: Cross multiply
    288,191.30x = 431,401.12 × 245,676.02
  4. Step 4: Simplify right side
    288,191.30x = 105,984,907,413.95
  5. Step 5: Solve for x
    x = 105,984,907,413.95/288,191.30
  6. Step 6: Final answer
    x = 367,758.88

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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.