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Finding the Fourth Proportional to 270,756.82, 405,894 and 128,514.34

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Solution

The fourth proportional to 270,756.82, 405,894 and 128,514.34 is: 192,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,756.82 : 405,894 = 128,514.34 : x
  2. Step 2: Convert to fraction form
    270,756.82/405,894 = 128,514.34/x
  3. Step 3: Cross multiply
    270,756.82x = 405,894 × 128,514.34
  4. Step 4: Simplify right side
    270,756.82x = 52,163,199,519.96
  5. Step 5: Solve for x
    x = 52,163,199,519.96/270,756.82
  6. Step 6: Final answer
    x = 192,657.01

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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.