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Finding the Fourth Proportional to 543,229.77, 749,643.08 and 301,505.25

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Solution

The fourth proportional to 543,229.77, 749,643.08 and 301,505.25 is: 416,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,229.77 : 749,643.08 = 301,505.25 : x
  2. Step 2: Convert to fraction form
    543,229.77/749,643.08 = 301,505.25/x
  3. Step 3: Cross multiply
    543,229.77x = 749,643.08 × 301,505.25
  4. Step 4: Simplify right side
    543,229.77x = 226,021,322,738.64
  5. Step 5: Solve for x
    x = 226,021,322,738.64/543,229.77
  6. Step 6: Final answer
    x = 416,069.47

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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.