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Finding the Fourth Proportional to 257,524.94, 386,208.34 and 178,073.40

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Solution

The fourth proportional to 257,524.94, 386,208.34 and 178,073.40 is: 267,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,524.94 : 386,208.34 = 178,073.40 : x
  2. Step 2: Convert to fraction form
    257,524.94/386,208.34 = 178,073.40/x
  3. Step 3: Cross multiply
    257,524.94x = 386,208.34 × 178,073.40
  4. Step 4: Simplify right side
    257,524.94x = 68,773,432,212.16
  5. Step 5: Solve for x
    x = 68,773,432,212.16/257,524.94
  6. Step 6: Final answer
    x = 267,055.42

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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.