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Finding the Fourth Proportional to 286,114.32, 394,563.48 and 171,374.64

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Solution

The fourth proportional to 286,114.32, 394,563.48 and 171,374.64 is: 236,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,114.32 : 394,563.48 = 171,374.64 : x
  2. Step 2: Convert to fraction form
    286,114.32/394,563.48 = 171,374.64/x
  3. Step 3: Cross multiply
    286,114.32x = 394,563.48 × 171,374.64
  4. Step 4: Simplify right side
    286,114.32x = 67,618,174,342.15
  5. Step 5: Solve for x
    x = 67,618,174,342.15/286,114.32
  6. Step 6: Final answer
    x = 236,332.72

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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.