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Finding the Fourth Proportional to 257,718.45, 386,422.35 and 115,538.01

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Solution

The fourth proportional to 257,718.45, 386,422.35 and 115,538.01 is: 173,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,718.45 : 386,422.35 = 115,538.01 : x
  2. Step 2: Convert to fraction form
    257,718.45/386,422.35 = 115,538.01/x
  3. Step 3: Cross multiply
    257,718.45x = 386,422.35 × 115,538.01
  4. Step 4: Simplify right side
    257,718.45x = 44,646,467,456.17
  5. Step 5: Solve for x
    x = 44,646,467,456.17/257,718.45
  6. Step 6: Final answer
    x = 173,237.37

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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.