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Finding the Fourth Proportional to 385,103.86, 531,402.43 and 212,994.48

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Solution

The fourth proportional to 385,103.86, 531,402.43 and 212,994.48 is: 293,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,103.86 : 531,402.43 = 212,994.48 : x
  2. Step 2: Convert to fraction form
    385,103.86/531,402.43 = 212,994.48/x
  3. Step 3: Cross multiply
    385,103.86x = 531,402.43 × 212,994.48
  4. Step 4: Simplify right side
    385,103.86x = 113,185,784,248.59
  5. Step 5: Solve for x
    x = 113,185,784,248.59/385,103.86
  6. Step 6: Final answer
    x = 293,909.76

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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.