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Finding the Fourth Proportional to 271,770.76, 407,470.06 and 138,392.84

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Solution

The fourth proportional to 271,770.76, 407,470.06 and 138,392.84 is: 207,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,770.76 : 407,470.06 = 138,392.84 : x
  2. Step 2: Convert to fraction form
    271,770.76/407,470.06 = 138,392.84/x
  3. Step 3: Cross multiply
    271,770.76x = 407,470.06 × 138,392.84
  4. Step 4: Simplify right side
    271,770.76x = 56,390,938,818.37
  5. Step 5: Solve for x
    x = 56,390,938,818.37/271,770.76
  6. Step 6: Final answer
    x = 207,494.50

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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.