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Finding the Fourth Proportional to 284,671.46, 427,464.62 and 188,756.81

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Solution

The fourth proportional to 284,671.46, 427,464.62 and 188,756.81 is: 283,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,671.46 : 427,464.62 = 188,756.81 : x
  2. Step 2: Convert to fraction form
    284,671.46/427,464.62 = 188,756.81/x
  3. Step 3: Cross multiply
    284,671.46x = 427,464.62 × 188,756.81
  4. Step 4: Simplify right side
    284,671.46x = 80,686,857,115.28
  5. Step 5: Solve for x
    x = 80,686,857,115.28/284,671.46
  6. Step 6: Final answer
    x = 283,438.52

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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.