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Finding the Fourth Proportional to 543,309, 749,728.91 and 301,572.54

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Solution

The fourth proportional to 543,309, 749,728.91 and 301,572.54 is: 416,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,309 : 749,728.91 = 301,572.54 : x
  2. Step 2: Convert to fraction form
    543,309/749,728.91 = 301,572.54/x
  3. Step 3: Cross multiply
    543,309x = 749,728.91 × 301,572.54
  4. Step 4: Simplify right side
    543,309x = 226,097,651,700.13
  5. Step 5: Solve for x
    x = 226,097,651,700.13/543,309
  6. Step 6: Final answer
    x = 416,149.28

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