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Finding the Fourth Proportional to 189,431.80, 284,301.30 and 183,287.80

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Solution

The fourth proportional to 189,431.80, 284,301.30 and 183,287.80 is: 275,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,431.80 : 284,301.30 = 183,287.80 : x
  2. Step 2: Convert to fraction form
    189,431.80/284,301.30 = 183,287.80/x
  3. Step 3: Cross multiply
    189,431.80x = 284,301.30 × 183,287.80
  4. Step 4: Simplify right side
    189,431.80x = 52,108,959,814.14
  5. Step 5: Solve for x
    x = 52,108,959,814.14/189,431.80
  6. Step 6: Final answer
    x = 275,080.32

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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.