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Finding the Fourth Proportional to 401,563.06, 554,157 and 231,797.20

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Solution

The fourth proportional to 401,563.06, 554,157 and 231,797.20 is: 319,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,563.06 : 554,157 = 231,797.20 : x
  2. Step 2: Convert to fraction form
    401,563.06/554,157 = 231,797.20/x
  3. Step 3: Cross multiply
    401,563.06x = 554,157 × 231,797.20
  4. Step 4: Simplify right side
    401,563.06x = 128,452,040,960.40
  5. Step 5: Solve for x
    x = 128,452,040,960.40/401,563.06
  6. Step 6: Final answer
    x = 319,880.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.