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Finding the Fourth Proportional to 257,722.55, 386,428.41 and 115,542.08

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Solution

The fourth proportional to 257,722.55, 386,428.41 and 115,542.08 is: 173,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,722.55 : 386,428.41 = 115,542.08 : x
  2. Step 2: Convert to fraction form
    257,722.55/386,428.41 = 115,542.08/x
  3. Step 3: Cross multiply
    257,722.55x = 386,428.41 × 115,542.08
  4. Step 4: Simplify right side
    257,722.55x = 44,648,740,330.35
  5. Step 5: Solve for x
    x = 44,648,740,330.35/257,722.55
  6. Step 6: Final answer
    x = 173,243.44

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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.