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Finding the Fourth Proportional to 251,433.41, 346,978.09 and 138,256.16

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Solution

The fourth proportional to 251,433.41, 346,978.09 and 138,256.16 is: 190,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,433.41 : 346,978.09 = 138,256.16 : x
  2. Step 2: Convert to fraction form
    251,433.41/346,978.09 = 138,256.16/x
  3. Step 3: Cross multiply
    251,433.41x = 346,978.09 × 138,256.16
  4. Step 4: Simplify right side
    251,433.41x = 47,971,856,247.00
  5. Step 5: Solve for x
    x = 47,971,856,247.00/251,433.41
  6. Step 6: Final answer
    x = 190,793.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.