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Finding the Fourth Proportional to 289,046.64, 433,462.23 and 99,453.99

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Solution

The fourth proportional to 289,046.64, 433,462.23 and 99,453.99 is: 149,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,046.64 : 433,462.23 = 99,453.99 : x
  2. Step 2: Convert to fraction form
    289,046.64/433,462.23 = 99,453.99/x
  3. Step 3: Cross multiply
    289,046.64x = 433,462.23 × 99,453.99
  4. Step 4: Simplify right side
    289,046.64x = 43,109,548,287.80
  5. Step 5: Solve for x
    x = 43,109,548,287.80/289,046.64
  6. Step 6: Final answer
    x = 149,143.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.