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Finding the Fourth Proportional to 361,986.79, 499,614.47 and 209,049.88

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Solution

The fourth proportional to 361,986.79, 499,614.47 and 209,049.88 is: 288,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,986.79 : 499,614.47 = 209,049.88 : x
  2. Step 2: Convert to fraction form
    361,986.79/499,614.47 = 209,049.88/x
  3. Step 3: Cross multiply
    361,986.79x = 499,614.47 × 209,049.88
  4. Step 4: Simplify right side
    361,986.79x = 104,444,344,999.76
  5. Step 5: Solve for x
    x = 104,444,344,999.76/361,986.79
  6. Step 6: Final answer
    x = 288,530.82

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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.