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Finding the Fourth Proportional to 311,478.12, 429,843.81 and 184,152.60

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Solution

The fourth proportional to 311,478.12, 429,843.81 and 184,152.60 is: 254,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,478.12 : 429,843.81 = 184,152.60 : x
  2. Step 2: Convert to fraction form
    311,478.12/429,843.81 = 184,152.60/x
  3. Step 3: Cross multiply
    311,478.12x = 429,843.81 × 184,152.60
  4. Step 4: Simplify right side
    311,478.12x = 79,156,855,205.41
  5. Step 5: Solve for x
    x = 79,156,855,205.41/311,478.12
  6. Step 6: Final answer
    x = 254,132.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.