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Finding the Fourth Proportional to 311,609.92, 430,109.78 and 184,329.76

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Solution

The fourth proportional to 311,609.92, 430,109.78 and 184,329.76 is: 254,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,609.92 : 430,109.78 = 184,329.76 : x
  2. Step 2: Convert to fraction form
    311,609.92/430,109.78 = 184,329.76/x
  3. Step 3: Cross multiply
    311,609.92x = 430,109.78 × 184,329.76
  4. Step 4: Simplify right side
    311,609.92x = 79,282,032,521.05
  5. Step 5: Solve for x
    x = 79,282,032,521.05/311,609.92
  6. Step 6: Final answer
    x = 254,427.18

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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.