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Finding the Fourth Proportional to 543,447.63, 749,959.56 and 301,730.94

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Solution

The fourth proportional to 543,447.63, 749,959.56 and 301,730.94 is: 416,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,447.63 : 749,959.56 = 301,730.94 : x
  2. Step 2: Convert to fraction form
    543,447.63/749,959.56 = 301,730.94/x
  3. Step 3: Cross multiply
    543,447.63x = 749,959.56 × 301,730.94
  4. Step 4: Simplify right side
    543,447.63x = 226,286,003,000.79
  5. Step 5: Solve for x
    x = 226,286,003,000.79/543,447.63
  6. Step 6: Final answer
    x = 416,389.71

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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.