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Finding the Fourth Proportional to 289,182.08, 433,723.92 and 78,770.80

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Solution

The fourth proportional to 289,182.08, 433,723.92 and 78,770.80 is: 118,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,182.08 : 433,723.92 = 78,770.80 : x
  2. Step 2: Convert to fraction form
    289,182.08/433,723.92 = 78,770.80/x
  3. Step 3: Cross multiply
    289,182.08x = 433,723.92 × 78,770.80
  4. Step 4: Simplify right side
    289,182.08x = 34,164,780,157.54
  5. Step 5: Solve for x
    x = 34,164,780,157.54/289,182.08
  6. Step 6: Final answer
    x = 118,142.80

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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.