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Finding the Fourth Proportional to 345,871.41, 477,408.90 and 202,677.58

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Solution

The fourth proportional to 345,871.41, 477,408.90 and 202,677.58 is: 279,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,871.41 : 477,408.90 = 202,677.58 : x
  2. Step 2: Convert to fraction form
    345,871.41/477,408.90 = 202,677.58/x
  3. Step 3: Cross multiply
    345,871.41x = 477,408.90 × 202,677.58
  4. Step 4: Simplify right side
    345,871.41x = 96,760,080,522.46
  5. Step 5: Solve for x
    x = 96,760,080,522.46/345,871.41
  6. Step 6: Final answer
    x = 279,757.38

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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.