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Finding the Fourth Proportional to 286,032.12, 394,743.03 and 165,178.50

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Solution

The fourth proportional to 286,032.12, 394,743.03 and 165,178.50 is: 227,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,032.12 : 394,743.03 = 165,178.50 : x
  2. Step 2: Convert to fraction form
    286,032.12/394,743.03 = 165,178.50/x
  3. Step 3: Cross multiply
    286,032.12x = 394,743.03 × 165,178.50
  4. Step 4: Simplify right side
    286,032.12x = 65,203,061,580.86
  5. Step 5: Solve for x
    x = 65,203,061,580.86/286,032.12
  6. Step 6: Final answer
    x = 227,957.13

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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.