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Finding the Fourth Proportional to 318,632.71, 439,489.16 and 209,702.34

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Solution

The fourth proportional to 318,632.71, 439,489.16 and 209,702.34 is: 289,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,632.71 : 439,489.16 = 209,702.34 : x
  2. Step 2: Convert to fraction form
    318,632.71/439,489.16 = 209,702.34/x
  3. Step 3: Cross multiply
    318,632.71x = 439,489.16 × 209,702.34
  4. Step 4: Simplify right side
    318,632.71x = 92,161,902,010.68
  5. Step 5: Solve for x
    x = 92,161,902,010.68/318,632.71
  6. Step 6: Final answer
    x = 289,241.81

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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.