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Finding the Fourth Proportional to 436,275.80, 654,327.30 and 211,635.80

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Solution

The fourth proportional to 436,275.80, 654,327.30 and 211,635.80 is: 317,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,275.80 : 654,327.30 = 211,635.80 : x
  2. Step 2: Convert to fraction form
    436,275.80/654,327.30 = 211,635.80/x
  3. Step 3: Cross multiply
    436,275.80x = 654,327.30 × 211,635.80
  4. Step 4: Simplify right side
    436,275.80x = 138,479,081,597.34
  5. Step 5: Solve for x
    x = 138,479,081,597.34/436,275.80
  6. Step 6: Final answer
    x = 317,411.79

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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.