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Finding the Fourth Proportional to 284,669.45, 427,461.62 and 188,754.81

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Solution

The fourth proportional to 284,669.45, 427,461.62 and 188,754.81 is: 283,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,669.45 : 427,461.62 = 188,754.81 : x
  2. Step 2: Convert to fraction form
    284,669.45/427,461.62 = 188,754.81/x
  3. Step 3: Cross multiply
    284,669.45x = 427,461.62 × 188,754.81
  4. Step 4: Simplify right side
    284,669.45x = 80,685,434,318.64
  5. Step 5: Solve for x
    x = 80,685,434,318.64/284,669.45
  6. Step 6: Final answer
    x = 283,435.52

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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.