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Finding the Fourth Proportional to 311,468.18, 429,830.09 and 184,142.66

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Solution

The fourth proportional to 311,468.18, 429,830.09 and 184,142.66 is: 254,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,468.18 : 429,830.09 = 184,142.66 : x
  2. Step 2: Convert to fraction form
    311,468.18/429,830.09 = 184,142.66/x
  3. Step 3: Cross multiply
    311,468.18x = 429,830.09 × 184,142.66
  4. Step 4: Simplify right side
    311,468.18x = 79,150,053,050.78
  5. Step 5: Solve for x
    x = 79,150,053,050.78/311,468.18
  6. Step 6: Final answer
    x = 254,119.23

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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.