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Finding the Fourth Proportional to 286,179.78, 394,946.76 and 165,326.16

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Solution

The fourth proportional to 286,179.78, 394,946.76 and 165,326.16 is: 228,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,179.78 : 394,946.76 = 165,326.16 : x
  2. Step 2: Convert to fraction form
    286,179.78/394,946.76 = 165,326.16/x
  3. Step 3: Cross multiply
    286,179.78x = 394,946.76 × 165,326.16
  4. Step 4: Simplify right side
    286,179.78x = 65,295,031,235.24
  5. Step 5: Solve for x
    x = 65,295,031,235.24/286,179.78
  6. Step 6: Final answer
    x = 228,160.88

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1.5x scale

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.