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Finding the Fourth Proportional to 253,678, 350,071.34 and 140,498.32

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Solution

The fourth proportional to 253,678, 350,071.34 and 140,498.32 is: 193,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,678 : 350,071.34 = 140,498.32 : x
  2. Step 2: Convert to fraction form
    253,678/350,071.34 = 140,498.32/x
  3. Step 3: Cross multiply
    253,678x = 350,071.34 × 140,498.32
  4. Step 4: Simplify right side
    253,678x = 49,184,435,150.15
  5. Step 5: Solve for x
    x = 49,184,435,150.15/253,678
  6. Step 6: Final answer
    x = 193,885.30

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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.