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Finding the Fourth Proportional to 398,289.71, 549,842.94 and 269,906.43

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Solution

The fourth proportional to 398,289.71, 549,842.94 and 269,906.43 is: 372,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,289.71 : 549,842.94 = 269,906.43 : x
  2. Step 2: Convert to fraction form
    398,289.71/549,842.94 = 269,906.43/x
  3. Step 3: Cross multiply
    398,289.71x = 549,842.94 × 269,906.43
  4. Step 4: Simplify right side
    398,289.71x = 148,406,144,996.10
  5. Step 5: Solve for x
    x = 148,406,144,996.10/398,289.71
  6. Step 6: Final answer
    x = 372,608.53

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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.