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Finding the Fourth Proportional to 361,985.79, 499,613.09 and 209,048.88

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Solution

The fourth proportional to 361,985.79, 499,613.09 and 209,048.88 is: 288,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,985.79 : 499,613.09 = 209,048.88 : x
  2. Step 2: Convert to fraction form
    361,985.79/499,613.09 = 209,048.88/x
  3. Step 3: Cross multiply
    361,985.79x = 499,613.09 × 209,048.88
  4. Step 4: Simplify right side
    361,985.79x = 104,443,554,098.61
  5. Step 5: Solve for x
    x = 104,443,554,098.61/361,985.79
  6. Step 6: Final answer
    x = 288,529.43

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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.