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Finding the Fourth Proportional to 549,309, 757,982.61 and 319,916.43

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Solution

The fourth proportional to 549,309, 757,982.61 and 319,916.43 is: 441,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,309 : 757,982.61 = 319,916.43 : x
  2. Step 2: Convert to fraction form
    549,309/757,982.61 = 319,916.43/x
  3. Step 3: Cross multiply
    549,309x = 757,982.61 × 319,916.43
  4. Step 4: Simplify right side
    549,309x = 242,491,090,593.28
  5. Step 5: Solve for x
    x = 242,491,090,593.28/549,309
  6. Step 6: Final answer
    x = 441,447.51

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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.