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Finding the Fourth Proportional to 289,073.02, 433,610.01 and 189,859.90

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Solution

The fourth proportional to 289,073.02, 433,610.01 and 189,859.90 is: 284,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.02 : 433,610.01 = 189,859.90 : x
  2. Step 2: Convert to fraction form
    289,073.02/433,610.01 = 189,859.90/x
  3. Step 3: Cross multiply
    289,073.02x = 433,610.01 × 189,859.90
  4. Step 4: Simplify right side
    289,073.02x = 82,325,153,137.60
  5. Step 5: Solve for x
    x = 82,325,153,137.60/289,073.02
  6. Step 6: Final answer
    x = 284,790.17

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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.