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Finding the Fourth Proportional to 218,456.52, 301,409.10 and 140,899.35

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Solution

The fourth proportional to 218,456.52, 301,409.10 and 140,899.35 is: 194,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,456.52 : 301,409.10 = 140,899.35 : x
  2. Step 2: Convert to fraction form
    218,456.52/301,409.10 = 140,899.35/x
  3. Step 3: Cross multiply
    218,456.52x = 301,409.10 × 140,899.35
  4. Step 4: Simplify right side
    218,456.52x = 42,468,346,274.09
  5. Step 5: Solve for x
    x = 42,468,346,274.09/218,456.52
  6. Step 6: Final answer
    x = 194,401.83

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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.