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Finding the Fourth Proportional to 257,138.82, 386,076.38 and 157,496.67

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Solution

The fourth proportional to 257,138.82, 386,076.38 and 157,496.67 is: 236,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,138.82 : 386,076.38 = 157,496.67 : x
  2. Step 2: Convert to fraction form
    257,138.82/386,076.38 = 157,496.67/x
  3. Step 3: Cross multiply
    257,138.82x = 386,076.38 × 157,496.67
  4. Step 4: Simplify right side
    257,138.82x = 60,805,743,428.17
  5. Step 5: Solve for x
    x = 60,805,743,428.17/257,138.82
  6. Step 6: Final answer
    x = 236,470.49

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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.