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Finding the Fourth Proportional to 286,096.86, 394,690.32 and 172,854

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Solution

The fourth proportional to 286,096.86, 394,690.32 and 172,854 is: 238,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,096.86 : 394,690.32 = 172,854 : x
  2. Step 2: Convert to fraction form
    286,096.86/394,690.32 = 172,854/x
  3. Step 3: Cross multiply
    286,096.86x = 394,690.32 × 172,854
  4. Step 4: Simplify right side
    286,096.86x = 68,223,800,573.28
  5. Step 5: Solve for x
    x = 68,223,800,573.28/286,096.86
  6. Step 6: Final answer
    x = 238,464.00

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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.