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Finding the Fourth Proportional to 397,851.31, 549,105.93 and 254,606.44

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Solution

The fourth proportional to 397,851.31, 549,105.93 and 254,606.44 is: 351,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,851.31 : 549,105.93 = 254,606.44 : x
  2. Step 2: Convert to fraction form
    397,851.31/549,105.93 = 254,606.44/x
  3. Step 3: Cross multiply
    397,851.31x = 549,105.93 × 254,606.44
  4. Step 4: Simplify right side
    397,851.31x = 139,805,906,020.19
  5. Step 5: Solve for x
    x = 139,805,906,020.19/397,851.31
  6. Step 6: Final answer
    x = 351,402.40

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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.