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Finding the Fourth Proportional to 397,287.43, 595,782.50 and 144,494.15

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Solution

The fourth proportional to 397,287.43, 595,782.50 and 144,494.15 is: 216,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,287.43 : 595,782.50 = 144,494.15 : x
  2. Step 2: Convert to fraction form
    397,287.43/595,782.50 = 144,494.15/x
  3. Step 3: Cross multiply
    397,287.43x = 595,782.50 × 144,494.15
  4. Step 4: Simplify right side
    397,287.43x = 86,087,082,220.99
  5. Step 5: Solve for x
    x = 86,087,082,220.99/397,287.43
  6. Step 6: Final answer
    x = 216,687.15

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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.