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Finding the Fourth Proportional to 257,334.76, 385,760.22 and 138,828.52

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Solution

The fourth proportional to 257,334.76, 385,760.22 and 138,828.52 is: 208,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,334.76 : 385,760.22 = 138,828.52 : x
  2. Step 2: Convert to fraction form
    257,334.76/385,760.22 = 138,828.52/x
  3. Step 3: Cross multiply
    257,334.76x = 385,760.22 × 138,828.52
  4. Step 4: Simplify right side
    257,334.76x = 53,554,520,417.47
  5. Step 5: Solve for x
    x = 53,554,520,417.47/257,334.76
  6. Step 6: Final answer
    x = 208,112.27

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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.