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Finding the Fourth Proportional to 284,057.82, 426,349.44 and 143,914.86

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Solution

The fourth proportional to 284,057.82, 426,349.44 and 143,914.86 is: 216,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057.82 : 426,349.44 = 143,914.86 : x
  2. Step 2: Convert to fraction form
    284,057.82/426,349.44 = 143,914.86/x
  3. Step 3: Cross multiply
    284,057.82x = 426,349.44 × 143,914.86
  4. Step 4: Simplify right side
    284,057.82x = 61,358,019,968.68
  5. Step 5: Solve for x
    x = 61,358,019,968.68/284,057.82
  6. Step 6: Final answer
    x = 216,005.39

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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.