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Finding the Fourth Proportional to 359,930.50, 496,704.13 and 209,037.22

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Solution

The fourth proportional to 359,930.50, 496,704.13 and 209,037.22 is: 288,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,930.50 : 496,704.13 = 209,037.22 : x
  2. Step 2: Convert to fraction form
    359,930.50/496,704.13 = 209,037.22/x
  3. Step 3: Cross multiply
    359,930.50x = 496,704.13 × 209,037.22
  4. Step 4: Simplify right side
    359,930.50x = 103,829,650,497.72
  5. Step 5: Solve for x
    x = 103,829,650,497.72/359,930.50
  6. Step 6: Final answer
    x = 288,471.39

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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.