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Finding the Fourth Proportional to 270,514.52, 405,808.64 and 112,706

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Solution

The fourth proportional to 270,514.52, 405,808.64 and 112,706 is: 169,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,514.52 : 405,808.64 = 112,706 : x
  2. Step 2: Convert to fraction form
    270,514.52/405,808.64 = 112,706/x
  3. Step 3: Cross multiply
    270,514.52x = 405,808.64 × 112,706
  4. Step 4: Simplify right side
    270,514.52x = 45,737,068,579.84
  5. Step 5: Solve for x
    x = 45,737,068,579.84/270,514.52
  6. Step 6: Final answer
    x = 169,074.36

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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.