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Finding the Fourth Proportional to 289,499.88, 399,704.86 and 180,769.80

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Solution

The fourth proportional to 289,499.88, 399,704.86 and 180,769.80 is: 249,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,499.88 : 399,704.86 = 180,769.80 : x
  2. Step 2: Convert to fraction form
    289,499.88/399,704.86 = 180,769.80/x
  3. Step 3: Cross multiply
    289,499.88x = 399,704.86 × 180,769.80
  4. Step 4: Simplify right side
    289,499.88x = 72,254,567,601.23
  5. Step 5: Solve for x
    x = 72,254,567,601.23/289,499.88
  6. Step 6: Final answer
    x = 249,584.10

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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.