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Finding the Fourth Proportional to 359,867, 496,660.20 and 208,964

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Solution

The fourth proportional to 359,867, 496,660.20 and 208,964 is: 288,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,867 : 496,660.20 = 208,964 : x
  2. Step 2: Convert to fraction form
    359,867/496,660.20 = 208,964/x
  3. Step 3: Cross multiply
    359,867x = 496,660.20 × 208,964
  4. Step 4: Simplify right side
    359,867x = 103,784,102,032.80
  5. Step 5: Solve for x
    x = 103,784,102,032.80/359,867
  6. Step 6: Final answer
    x = 288,395.72

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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.