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Finding the Fourth Proportional to 301,173.48, 451,595.28 and 138,891.42

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Solution

The fourth proportional to 301,173.48, 451,595.28 and 138,891.42 is: 208,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,173.48 : 451,595.28 = 138,891.42 : x
  2. Step 2: Convert to fraction form
    301,173.48/451,595.28 = 138,891.42/x
  3. Step 3: Cross multiply
    301,173.48x = 451,595.28 × 138,891.42
  4. Step 4: Simplify right side
    301,173.48x = 62,722,709,704.50
  5. Step 5: Solve for x
    x = 62,722,709,704.50/301,173.48
  6. Step 6: Final answer
    x = 208,261.07

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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.