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Finding the Fourth Proportional to 254,605.20, 382,315.80 and 202,448.40

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Solution

The fourth proportional to 254,605.20, 382,315.80 and 202,448.40 is: 303,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,605.20 : 382,315.80 = 202,448.40 : x
  2. Step 2: Convert to fraction form
    254,605.20/382,315.80 = 202,448.40/x
  3. Step 3: Cross multiply
    254,605.20x = 382,315.80 × 202,448.40
  4. Step 4: Simplify right side
    254,605.20x = 77,399,222,004.72
  5. Step 5: Solve for x
    x = 77,399,222,004.72/254,605.20
  6. Step 6: Final answer
    x = 303,997.02

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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.