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Finding the Fourth Proportional to 288,039.65, 431,647.65 and 211,538.12

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Solution

The fourth proportional to 288,039.65, 431,647.65 and 211,538.12 is: 317,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,039.65 : 431,647.65 = 211,538.12 : x
  2. Step 2: Convert to fraction form
    288,039.65/431,647.65 = 211,538.12/x
  3. Step 3: Cross multiply
    288,039.65x = 431,647.65 × 211,538.12
  4. Step 4: Simplify right side
    288,039.65x = 91,309,930,225.18
  5. Step 5: Solve for x
    x = 91,309,930,225.18/288,039.65
  6. Step 6: Final answer
    x = 317,004.73

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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.