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Finding the Fourth Proportional to 312,185.34, 468,278.82 and 75,527.64

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Solution

The fourth proportional to 312,185.34, 468,278.82 and 75,527.64 is: 113,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,185.34 : 468,278.82 = 75,527.64 : x
  2. Step 2: Convert to fraction form
    312,185.34/468,278.82 = 75,527.64/x
  3. Step 3: Cross multiply
    312,185.34x = 468,278.82 × 75,527.64
  4. Step 4: Simplify right side
    312,185.34x = 35,367,994,136.58
  5. Step 5: Solve for x
    x = 35,367,994,136.58/312,185.34
  6. Step 6: Final answer
    x = 113,291.66

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1.5x scale

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.