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Finding the Fourth Proportional to 253,871.82, 380,818.17 and 209,415.78

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Solution

The fourth proportional to 253,871.82, 380,818.17 and 209,415.78 is: 314,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,871.82 : 380,818.17 = 209,415.78 : x
  2. Step 2: Convert to fraction form
    253,871.82/380,818.17 = 209,415.78/x
  3. Step 3: Cross multiply
    253,871.82x = 380,818.17 × 209,415.78
  4. Step 4: Simplify right side
    253,871.82x = 79,749,334,108.72
  5. Step 5: Solve for x
    x = 79,749,334,108.72/253,871.82
  6. Step 6: Final answer
    x = 314,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.