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Finding the Fourth Proportional to 257,906.48, 386,915.00 and 77,976.52

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Solution

The fourth proportional to 257,906.48, 386,915.00 and 77,976.52 is: 116,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906.48 : 386,915.00 = 77,976.52 : x
  2. Step 2: Convert to fraction form
    257,906.48/386,915.00 = 77,976.52/x
  3. Step 3: Cross multiply
    257,906.48x = 386,915.00 × 77,976.52
  4. Step 4: Simplify right side
    257,906.48x = 30,170,283,878.63
  5. Step 5: Solve for x
    x = 30,170,283,878.63/257,906.48
  6. Step 6: Final answer
    x = 116,981.49

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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.